Details

Time bar (total: 5.7s)

analyze33.0ms (0.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%12.5%87.5%0
0%12.5%87.5%1
0%12.5%87.5%2
3.1%9.3%87.5%3
3.1%6.2%90.7%4
4.7%4.7%90.7%5
4.7%3.5%91.8%6
5.6%2.5%91.8%7
5.9%1.8%92.3%8
6.4%1.3%92.3%9
6.6%0.9%92.5%10
6.8%0.6%92.5%11
6.9%0.5%92.6%12
Compiler

Compiled 24 to 17 computations (29.2% saved)

sample1.3s (22.8%)

Results
1.3s8256×body256valid
14.0ms118×body256invalid

preprocess61.0ms (1.1%)

Algorithm
egg-herbie
Rules
820×fma-neg_binary64
648×times-frac_binary64
328×cancel-sign-sub-inv_binary64
300×div-sub_binary64
287×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
13232
26828
315928
459228
5190628
6451128
7644628
8727028
022
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(*.f64 (-.f64 (/.f64 (*.f64 v (-.f64 1 v)) m) 1) v)
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(*.f64 m (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 (-.f64 (/.f64 (*.f64 v (-.f64 1 v)) m) 1) v)
(*.f64 v (+.f64 (/.f64 v (/.f64 m (-.f64 1 v))) -1))
(*.f64 v (+.f64 (*.f64 (/.f64 v m) (-.f64 1 v)) -1))
(*.f64 v (fma.f64 (/.f64 v m) (-.f64 1 v) -1))
(*.f64 v (fma.f64 (-.f64 1 v) (/.f64 v m) -1))
(*.f64 v (fma.f64 v (/.f64 (-.f64 1 v) m) -1))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify64.0ms (1.1%)

Algorithm
egg-herbie
Rules
1175×fma-def_binary64
913×fma-neg_binary64
424×associate-/l*_binary64
409×div-sub_binary64
299×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0916
12016
23914
38514
428014
572614
6185814
7323614
8402714
9437314
10498414
11654814
12732214
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(*.f64 m (+.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1))
(*.f64 m (+.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) -1))
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))

eval1.0ms (0%)

Compiler

Compiled 23 to 15 computations (34.8% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
Compiler

Compiled 25 to 17 computations (32% saved)

localize23.0ms (0.4%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
Compiler

Compiled 40 to 25 computations (37.5% saved)

series9.0ms (0.2%)

Counts
3 → 48
Calls

15 calls:

TimeVariablePointExpression
1.0ms
v
@-inf
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
1.0ms
m
@-inf
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
1.0ms
m
@0
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
1.0ms
m
@inf
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
1.0ms
v
@0
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)

rewrite121.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
536×log-prod_binary64
501×prod-diff_binary64
351×pow-prod-down_binary64
264×pow2_binary64
185×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0933
120133
2290131
Stop Event
node limit
Counts
3 → 112
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 m (-.f64 1 m))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3) -1) m) (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1) m) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3) -1)) (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) (fma.f64 (/.f64 m v) (-.f64 1 m) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1)) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) m (neg.f64 m))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 m v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 1 (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 (-.f64 1 m) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 m v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (*.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 1 m)) (*.f64 (/.f64 1 v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (*.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2)) (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2)) (*.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 m) (neg.f64 m)) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (*.f64 m (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) 1) (/.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 (-.f64 1 m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 v) -2) (/.f64 (*.f64 m (-.f64 1 m)) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 m (-.f64 1 m)) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 m v) (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) 2) (cbrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) (sqrt.f64 (fma.f64 (/.f64 m v) (-.f64 1 m) 1)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 m (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (-.f64 1 m))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (-.f64 1 m)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (-.f64 1 m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) m) (fma.f64 m (+.f64 m 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (pow.f64 m 3))) (fma.f64 m (+.f64 m 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (*.f64 m m))) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (-.f64 1 m))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m 1 (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m 1 (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 m) (pow.f64 (cbrt.f64 m) 2) (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 m) (pow.f64 (cbrt.f64 m) 2) (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (*.f64 m (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (*.f64 (neg.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (*.f64 m (neg.f64 m)))))))

simplify47.0ms (0.8%)

Algorithm
egg-herbie
Rules
476×distribute-rgt-neg-in_binary64
466×fma-def_binary64
367×distribute-lft-neg-in_binary64
349×fma-neg_binary64
314×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025646
167585
2142585
3349531
41234474
54973474
Stop Event
node limit
Counts
160 → 134
Calls
Call 1
Inputs
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
m
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(*.f64 -1 (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
Outputs
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m)) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(/.f64 m (/.f64 v (neg.f64 m)))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(/.f64 (neg.f64 (*.f64 m m)) v)
(/.f64 (*.f64 m (neg.f64 m)) v)
(/.f64 m (/.f64 v (neg.f64 m)))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (/.f64 (neg.f64 (*.f64 m m)) v))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(-.f64 (/.f64 m v) (*.f64 m (/.f64 m v)))
(*.f64 m (/.f64 (-.f64 1 m) v))
m
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(*.f64 -1 (pow.f64 m 2))
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(*.f64 -1 (pow.f64 m 2))
(neg.f64 (*.f64 m m))
(*.f64 m (neg.f64 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))
(+.f64 (*.f64 -1 (pow.f64 m 2)) m)
(fma.f64 -1 (*.f64 m m) m)
(-.f64 m (*.f64 m m))
(*.f64 m (-.f64 1 m))

localize17.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.2b
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
0.1b
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
0.0b
(/.f64 (-.f64 1 m) v)
0.0b
(/.f64 (-.f64 1 m) v)
0.1b
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
0.2b
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
Compiler

Compiled 32 to 20 computations (37.5% saved)

series8.0ms (0.1%)

Counts
3 → 60
Calls

18 calls:

TimeVariablePointExpression
2.0ms
v
@-inf
(/.f64 (-.f64 1 m) v)
1.0ms
m
@0
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
1.0ms
v
@-inf
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
1.0ms
v
@inf
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
1.0ms
v
@0
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))

rewrite77.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
630×unpow-prod-down_binary64
452×log-prod_binary64
343×exp-prod_binary64
276×pow-prod-down_binary64
246×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
118632
2244132
Stop Event
node limit
Counts
3 → 179
Calls
Call 1
Inputs
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(/.f64 (-.f64 1 m) v)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m (/.f64 v (-.f64 1 m)))) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) 2)) (cbrt.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))) (sqrt.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 m (/.f64 v (-.f64 1 m))) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (/.f64 v (-.f64 1 m))) m (neg.f64 m))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 m (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) (pow.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2) (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2) 3) (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 3) -1) (+.f64 (pow.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 2) (-.f64 1 (*.f64 (/.f64 m (/.f64 v (-.f64 1 m))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 2) 1) (fma.f64 m (/.f64 (-.f64 1 m) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2)) (cbrt.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) (sqrt.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 m) v) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 m v))) (sqrt.f64 (/.f64 m v)) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 m) v) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 m) (sqrt.f64 v))) (/.f64 (sqrt.f64 m) (sqrt.f64 v)) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 v) (neg.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 v) (neg.f64 (*.f64 (/.f64 1 v) m))) (fma.f64 (neg.f64 (/.f64 1 v)) m (*.f64 (/.f64 1 v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 v)) 2) (cbrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 1 v) m))) (fma.f64 (neg.f64 (/.f64 1 v)) m (*.f64 (/.f64 1 v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 1 v) m))) (fma.f64 (neg.f64 (/.f64 1 v)) m (*.f64 (/.f64 1 v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 v) (neg.f64 (*.f64 (/.f64 m v) 1))) (fma.f64 (neg.f64 (/.f64 m v)) 1 (*.f64 (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 v)) 2) (cbrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 m v) 1))) (fma.f64 (neg.f64 (/.f64 m v)) 1 (*.f64 (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 m v) 1))) (fma.f64 (neg.f64 (/.f64 m v)) 1 (*.f64 (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 v) (neg.f64 (*.f64 (cbrt.f64 (/.f64 m v)) (pow.f64 (cbrt.f64 (/.f64 m v)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 m v))) (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (*.f64 (cbrt.f64 (/.f64 m v)) (pow.f64 (cbrt.f64 (/.f64 m v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 v)) 2) (cbrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 m v)) (pow.f64 (cbrt.f64 (/.f64 m v)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 m v))) (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (*.f64 (cbrt.f64 (/.f64 m v)) (pow.f64 (cbrt.f64 (/.f64 m v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 m v)) (pow.f64 (cbrt.f64 (/.f64 m v)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 m v))) (pow.f64 (cbrt.f64 (/.f64 m v)) 2) (*.f64 (cbrt.f64 (/.f64 m v)) (pow.f64 (cbrt.f64 (/.f64 m v)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 v) (neg.f64 (*.f64 (/.f64 (cbrt.f64 m) v) (/.f64 (pow.f64 (cbrt.f64 m) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 m) v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (*.f64 (/.f64 (cbrt.f64 m) v) (/.f64 (pow.f64 (cbrt.f64 m) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 v)) 2) (cbrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 m) v) (/.f64 (pow.f64 (cbrt.f64 m) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 m) v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (*.f64 (/.f64 (cbrt.f64 m) v) (/.f64 (pow.f64 (cbrt.f64 m) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 m) v) (/.f64 (pow.f64 (cbrt.f64 m) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 m) v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (*.f64 (/.f64 (cbrt.f64 m) v) (/.f64 (pow.f64 (cbrt.f64 m) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 v) (neg.f64 (*.f64 (/.f64 (sqrt.f64 m) v) (/.f64 (sqrt.f64 m) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 m) v)) (/.f64 (sqrt.f64 m) 1) (*.f64 (/.f64 (sqrt.f64 m) v) (/.f64 (sqrt.f64 m) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 v)) 2) (cbrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 m) v) (/.f64 (sqrt.f64 m) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 m) v)) (/.f64 (sqrt.f64 m) 1) (*.f64 (/.f64 (sqrt.f64 m) v) (/.f64 (sqrt.f64 m) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 m) v) (/.f64 (sqrt.f64 m) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 m) v)) (/.f64 (sqrt.f64 m) 1) (*.f64 (/.f64 (sqrt.f64 m) v) (/.f64 (sqrt.f64 m) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 v) (neg.f64 (*.f64 (/.f64 m (cbrt.f64 v)) (pow.f64 (cbrt.f64 v) -2)))) (fma.f64 (neg.f64 (/.f64 m (cbrt.f64 v))) (pow.f64 (cbrt.f64 v) -2) (*.f64 (/.f64 m (cbrt.f64 v)) (pow.f64 (cbrt.f64 v) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 v)) 2) (cbrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 m (cbrt.f64 v)) (pow.f64 (cbrt.f64 v) -2)))) (fma.f64 (neg.f64 (/.f64 m (cbrt.f64 v))) (pow.f64 (cbrt.f64 v) -2) (*.f64 (/.f64 m (cbrt.f64 v)) (pow.f64 (cbrt.f64 v) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 m (cbrt.f64 v)) (pow.f64 (cbrt.f64 v) -2)))) (fma.f64 (neg.f64 (/.f64 m (cbrt.f64 v))) (pow.f64 (cbrt.f64 v) -2) (*.f64 (/.f64 m (cbrt.f64 v)) (pow.f64 (cbrt.f64 v) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 v) (neg.f64 (*.f64 (/.f64 (cbrt.f64 m) (cbrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 v) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 m) (cbrt.f64 v))) (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 v) 2)) (*.f64 (/.f64 (cbrt.f64 m) (cbrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 v) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 v)) 2) (cbrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 m) (cbrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 v) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 m) (cbrt.f64 v))) (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 v) 2)) (*.f64 (/.f64 (cbrt.f64 m) (cbrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 v) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 m) (cbrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 v) 2))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 m) (cbrt.f64 v))) (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 v) 2)) (*.f64 (/.f64 (cbrt.f64 m) (cbrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 v) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 v) (neg.f64 (*.f64 (/.f64 (sqrt.f64 m) (cbrt.f64 v)) (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 v) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 m) (cbrt.f64 v))) (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 v) 2)) (*.f64 (/.f64 (sqrt.f64 m) (cbrt.f64 v)) (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 v) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 v)) 2) (cbrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 m) (cbrt.f64 v)) (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 v) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 m) (cbrt.f64 v))) (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 v) 2)) (*.f64 (/.f64 (sqrt.f64 m) (cbrt.f64 v)) (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 v) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 m) (cbrt.f64 v)) (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 v) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 m) (cbrt.f64 v))) (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 v) 2)) (*.f64 (/.f64 (sqrt.f64 m) (cbrt.f64 v)) (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 v) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 v) (neg.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (pow.f64 v -1/2)))) (fma.f64 (neg.f64 (/.f64 m (sqrt.f64 v))) (pow.f64 v -1/2) (*.f64 (/.f64 m (sqrt.f64 v)) (pow.f64 v -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 v)) 2) (cbrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (pow.f64 v -1/2)))) (fma.f64 (neg.f64 (/.f64 m (sqrt.f64 v))) (pow.f64 v -1/2) (*.f64 (/.f64 m (sqrt.f64 v)) (pow.f64 v -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (pow.f64 v -1/2)))) (fma.f64 (neg.f64 (/.f64 m (sqrt.f64 v))) (pow.f64 v -1/2) (*.f64 (/.f64 m (sqrt.f64 v)) (pow.f64 v -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 v) (neg.f64 (*.f64 (/.f64 (cbrt.f64 m) (sqrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 m) (sqrt.f64 v))) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)) (*.f64 (/.f64 (cbrt.f64 m) (sqrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 v)) 2) (cbrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 m) (sqrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 m) (sqrt.f64 v))) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)) (*.f64 (/.f64 (cbrt.f64 m) (sqrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 (/.f64 1 v)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 m) (sqrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 m) (sqrt.f64 v))) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)) (*.f64 (/.f64 (cbrt.f64 m) (sqrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 m) v))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 1 m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 m) v)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 1 m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 v) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 m) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v)) (cbrt.f64 (pow.f64 (/.f64 v (-.f64 1 m)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 v (-.f64 1 m)) -2)) (cbrt.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (*.f64 (cbrt.f64 (-.f64 1 m)) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 m) v)) (sqrt.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 m)) (*.f64 (sqrt.f64 (-.f64 1 m)) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 m)) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 m)) (pow.f64 (/.f64 1 (neg.f64 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (pow.f64 (/.f64 1 (-.f64 1 m)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 v) -2) (/.f64 (-.f64 1 m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 v -1/2) (/.f64 (-.f64 1 m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 m)) 1) (/.f64 (sqrt.f64 (-.f64 1 m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 m)) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (sqrt.f64 (-.f64 1 m)) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (-.f64 1 m)) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 v) -2) 1) (pow.f64 (/.f64 (-.f64 1 m) (cbrt.f64 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 v -1/2) 1) (pow.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 m)) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 m)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 m)) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (pow.f64 (cbrt.f64 v) 2)) 1) (cbrt.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 m)) (pow.f64 (cbrt.f64 v) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 m)) (cbrt.f64 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2) (sqrt.f64 v)) 1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 m)) (sqrt.f64 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 v (-.f64 1 m)) -2) (-.f64 1 m)) 1/3) (cbrt.f64 (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 m) v) (cbrt.f64 (/.f64 (-.f64 1 m) v))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v))) 2) 3) (cbrt.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 v (-.f64 1 m))) 2) -1) (cbrt.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 v) (-.f64 1 m)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 v) 1) -1) (pow.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 m)) -2) -1) (pow.f64 (/.f64 v (cbrt.f64 (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 v) (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 v) (cbrt.f64 (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 1 m) -1/2) -1) (pow.f64 (/.f64 v (sqrt.f64 (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 v) 2) (sqrt.f64 (-.f64 1 m))) -1) (pow.f64 (/.f64 (cbrt.f64 v) (sqrt.f64 (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 v) (sqrt.f64 (-.f64 1 m))) -1) (pow.f64 (/.f64 (sqrt.f64 v) (sqrt.f64 (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 v (-.f64 1 (pow.f64 m 3))) -1) (/.f64 1 (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 v (-.f64 1 (*.f64 m m))) -1) (/.f64 1 (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 m) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 v (-.f64 1 m)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 m) v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (-.f64 1 m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 v 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 1 m) v))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 1 m) v)))) (sqrt.f64 (log.f64 (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 m) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 v (-.f64 1 m)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 m) v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 m) v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 m) v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 v (-.f64 1 m))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 m) v)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 v) (neg.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 v)) 2) (cbrt.f64 (/.f64 1 v)) (neg.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 v)) (sqrt.f64 (/.f64 1 v)) (neg.f64 (/.f64 m v)))))))

simplify54.0ms (1%)

Algorithm
egg-herbie
Rules
451×distribute-rgt-neg-in_binary64
431×fma-def_binary64
402×distribute-rgt-out--_binary64
377×fma-neg_binary64
345×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031862
183783
2175783
3407588
41349588
54862588
Stop Event
node limit
Counts
239 → 207
Calls
Call 1
Inputs
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
-1
(-.f64 (/.f64 m v) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
-1
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
-1
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(/.f64 1 v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(*.f64 -1 (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(*.f64 -1 (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
Outputs
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (*.f64 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (*.f64 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (*.f64 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (*.f64 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (*.f64 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (*.f64 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (*.f64 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (*.f64 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (*.f64 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (*.f64 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (*.f64 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (*.f64 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (*.f64 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (*.f64 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (-.f64 (*.f64 (/.f64 m v) m) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
-1
(-.f64 (/.f64 m v) 1)
(+.f64 (/.f64 m v) -1)
(+.f64 -1 (/.f64 m v))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (neg.f64 m) (/.f64 m v))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (-.f64 1 m) (/.f64 v m))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (neg.f64 m) (/.f64 m v))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (-.f64 1 m) (/.f64 v m))
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v))) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 m (/.f64 v m)))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (-.f64 1 m) (/.f64 v m))
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
-1
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
-1
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
(+.f64 (/.f64 m v) (-.f64 (neg.f64 (/.f64 (*.f64 m m) v)) 1))
(+.f64 -1 (-.f64 (/.f64 m v) (/.f64 m (/.f64 v m))))
(+.f64 -1 (-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m)))
(fma.f64 (-.f64 1 m) (/.f64 m v) -1)
(fma.f64 m (/.f64 (-.f64 1 m) v) -1)
(/.f64 1 v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(*.f64 -1 (/.f64 m v))
(/.f64 (neg.f64 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(*.f64 -1 (/.f64 m v))
(/.f64 (neg.f64 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)
(+.f64 (*.f64 -1 (/.f64 m v)) (/.f64 1 v))
(fma.f64 -1 (/.f64 m v) (/.f64 1 v))
(-.f64 (/.f64 1 v) (/.f64 m v))
(/.f64 (-.f64 1 m) v)

eval124.0ms (2.2%)

Compiler

Compiled 6286 to 3912 computations (37.8% saved)

prune61.0ms (1.1%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New32615341
Fresh000
Picked101
Done011
Total32716343
Error
0b
Counts
343 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
9.1b
(*.f64 (-.f64 (/.f64 m v) 1) m)
37.7b
(neg.f64 m)
26.3b
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
0.3b
(*.f64 (-.f64 (*.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v))) 1) m)
10.0b
(/.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1)) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
55.2b
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
32.5b
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
39.5b
(cbrt.f64 (pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 3))
1.4b
(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)
32.5b
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
0.2b
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
26.2b
(*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v))
32.5b
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
8.3b
(*.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)) 1) m)
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
16.0b
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
Compiler

Compiled 415 to 291 computations (29.9% saved)

localize15.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.2b
(*.f64 m (/.f64 (-.f64 1 m) v))
0.2b
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.0b
(/.f64 (-.f64 1 m) v)
0.0b
(/.f64 (-.f64 1 m) v)
0.2b
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.2b
(*.f64 m (/.f64 (-.f64 1 m) v))
Compiler

Compiled 40 to 25 computations (37.5% saved)

series3.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
m
@0
(*.f64 m (/.f64 (-.f64 1 m) v))
0.0ms
m
@-inf
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.0ms
m
@inf
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.0ms
m
@inf
(*.f64 m (/.f64 (-.f64 1 m) v))
0.0ms
v
@0
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)

rewrite56.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
541×prod-diff_binary64
531×log-prod_binary64
361×pow-prod-down_binary64
268×pow2_binary64
203×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
120424
2292624
Stop Event
node limit
Counts
2 → 57
Calls
Call 1
Inputs
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (/.f64 (-.f64 1 m) v))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (/.f64 (-.f64 1 m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (/.f64 (-.f64 1 m) v)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (/.f64 (-.f64 1 m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 m)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m (-.f64 1 m))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (-.f64 1 m)) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (-.f64 1 m)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (-.f64 1 m)) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 m)) m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (neg.f64 (-.f64 1 m))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m (-.f64 1 m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (/.f64 (-.f64 1 m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 (-.f64 1 m) v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (/.f64 (-.f64 1 m) v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 m (/.f64 (-.f64 1 m) v) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) 1)) 2) (cbrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) 1)) (sqrt.f64 (fma.f64 m (/.f64 (-.f64 1 m) v) 1)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) m) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 3) -1) m) (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) (fma.f64 m (/.f64 (-.f64 1 m) v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) -1) m) (fma.f64 m (/.f64 (-.f64 1 m) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 3) -1)) (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) (fma.f64 m (/.f64 (-.f64 1 m) v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 2) -1)) (fma.f64 m (/.f64 (-.f64 1 m) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) m (neg.f64 m))))))

simplify48.0ms (0.8%)

Algorithm
egg-herbie
Rules
454×distribute-rgt-neg-in_binary64
408×fma-def_binary64
374×distribute-rgt-out--_binary64
350×distribute-lft-neg-in_binary64
333×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025741
166665
2144665
3349548
41256518
54669518
Stop Event
node limit
Counts
105 → 74
Calls
Call 1
Inputs
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
Outputs
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (/.f64 (neg.f64 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(+.f64 (/.f64 m v) (neg.f64 (/.f64 (*.f64 m m) v)))
(-.f64 (/.f64 m v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m v) (*.f64 (/.f64 m v) m))
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (fma.f64 -1 m (/.f64 (*.f64 m m) v)))
(-.f64 (-.f64 (/.f64 (*.f64 m m) v) m) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (+.f64 m (/.f64 (pow.f64 m 3) v)))
(-.f64 (*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m))) m)
(*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))

localize3.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
12.8b
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
0.0b
(/.f64 (-.f64 1 m) v)
0.0b
(/.f64 (-.f64 1 m) v)
12.8b
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
Compiler

Compiled 25 to 13 computations (48% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
v
@0
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
1.0ms
v
@inf
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
1.0ms
m
@0
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
0.0ms
v
@-inf
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
0.0ms
m
@inf
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))

rewrite49.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
982×pow1_binary64
917×add-log-exp_binary64
916×log1p-expm1-u_binary64
916×expm1-log1p-u_binary64
89×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
117413
2243013
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (/.f64 v (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 (*.f64 m m) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 m m) (-.f64 1 m))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 m)) (*.f64 m m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (neg.f64 (-.f64 1 m))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (sqrt.f64 (/.f64 (-.f64 1 m) v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 m 4) (pow.f64 (/.f64 (-.f64 1 m) v) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 m) m) (/.f64 (-.f64 1 m) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 m m) 3) (pow.f64 (/.f64 (-.f64 1 m) v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 1 m) v) 3) (pow.f64 (*.f64 m m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))))))))

simplify52.0ms (0.9%)

Algorithm
egg-herbie
Rules
817×fma-def_binary64
402×fma-neg_binary64
353×cancel-sign-sub-inv_binary64
320×associate-*l/_binary64
249×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016382
140361
288361
3236298
4842298
52891298
67616298
Stop Event
node limit
Counts
47 → 30
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
Outputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
12.7b
(/.f64 (pow.f64 m 2) v)
0.0b
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
0.0b
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
12.7b
(/.f64 (pow.f64 m 2) v)
Compiler

Compiled 26 to 17 computations (34.6% saved)

series5.0ms (0.1%)

Counts
2 → 6
Calls

12 calls:

TimeVariablePointExpression
1.0ms
m
@0
(/.f64 (pow.f64 m 2) v)
1.0ms
m
@inf
(/.f64 (pow.f64 m 2) v)
1.0ms
v
@inf
(/.f64 (pow.f64 m 2) v)
0.0ms
v
@-inf
(/.f64 (pow.f64 m 2) v)
0.0ms
v
@0
(/.f64 (pow.f64 m 2) v)

rewrite55.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
857×pow1_binary64
798×add-log-exp_binary64
797×log1p-expm1-u_binary64
797×expm1-log1p-u_binary64
780×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0918
119617
2269817
Stop Event
node limit
Counts
2 → 70
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 m (/.f64 v m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (/.f64 v m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 m (/.f64 v m))) (pow.f64 (cbrt.f64 (/.f64 m (/.f64 v m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 m (/.f64 v m))) 2) (cbrt.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 m 4)) (*.f64 (pow.f64 (cbrt.f64 m) 2) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) 1) (/.f64 (pow.f64 (cbrt.f64 m) 2) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (*.f64 m m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (sqrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (/.f64 v m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 m (/.f64 v m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 m (/.f64 v m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 v m) m) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 m (/.f64 v m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 m (/.f64 v m))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 m (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 m (/.f64 v m)) m)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 m (/.f64 m (/.f64 v m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 m m) (+.f64 m (/.f64 m (/.f64 v m)))) (/.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)) (+.f64 m (/.f64 m (/.f64 v m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 m (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2) (/.f64 1 (+.f64 m (/.f64 m (/.f64 v m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 m (/.f64 m (/.f64 v m)))) (pow.f64 (cbrt.f64 (+.f64 m (/.f64 m (/.f64 v m)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 m (/.f64 m (/.f64 v m)))) 2) (cbrt.f64 (+.f64 m (/.f64 m (/.f64 v m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sqrt.f64 m) (/.f64 m (sqrt.f64 v))) (hypot.f64 (sqrt.f64 m) (/.f64 m (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m (/.f64 v m)) 3)) (/.f64 1 (-.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2) (/.f64 (pow.f64 m 3) v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 m (/.f64 m (/.f64 v m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 m) (/.f64 m (sqrt.f64 v))) (-.f64 (sqrt.f64 m) (/.f64 m (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2) (/.f64 (pow.f64 m 3) v)) (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m (/.f64 v m)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 m (/.f64 m (/.f64 v m))) (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2) (+.f64 m (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m (/.f64 v m)) 3)) (-.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2) (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m (/.f64 v m)) 3)) (+.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)) (-.f64 (*.f64 m m) (/.f64 (pow.f64 m 3) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 m 3) (pow.f64 (/.f64 m (/.f64 v m)) 3))) (neg.f64 (-.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2) (/.f64 (pow.f64 m 3) v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2)) (neg.f64 (+.f64 m (/.f64 m (/.f64 v m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 m 3) (pow.f64 (/.f64 m (/.f64 v m)) 3)) (-.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2) (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)) (*.f64 m m)) (+.f64 m (/.f64 m (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 m (/.f64 m (/.f64 v m)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sqrt.f64 m) (/.f64 m (sqrt.f64 v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 m (/.f64 m (/.f64 v m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 m (/.f64 m (/.f64 v m))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 m (/.f64 m (/.f64 v m)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 m (/.f64 m (/.f64 v m)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 m (/.f64 m (/.f64 v m)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m -1 (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) (/.f64 1 v) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 m (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 m (/.f64 v m)) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 m (/.f64 v m))) 2) (cbrt.f64 (/.f64 m (/.f64 v m))) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (/.f64 m (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)) m)))))

simplify57.0ms (1%)

Algorithm
egg-herbie
Rules
821×fma-def_binary64
517×fma-neg_binary64
444×associate-*r/_binary64
434×unswap-sqr_binary64
398×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
11530
22530
35130
411330
534230
6128830
7390530
8641730
9734930
Stop Event
node limit
Counts
76 → 74
Calls
Call 1
Inputs
(*.f64 -1 m)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(*.f64 -1 m)
(*.f64 -1 m)
Outputs
(*.f64 -1 m)
(neg.f64 m)
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(*.f64 -1 m)
(neg.f64 m)
(*.f64 -1 m)
(neg.f64 m)

localize34.0ms (0.6%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)))
0.2b
(/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v))
0.2b
(*.f64 (-.f64 (*.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v))) 1) m)
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.2b
(*.f64 (-.f64 (*.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v))) 1) m)
0.2b
(/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v))
0.4b
(*.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)))
Compiler

Compiled 69 to 42 computations (39.1% saved)

series16.0ms (0.3%)

Counts
3 → 60
Calls

18 calls:

TimeVariablePointExpression
3.0ms
v
@0
(*.f64 (-.f64 (*.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v))) 1) m)
3.0ms
v
@-inf
(/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v))
1.0ms
v
@-inf
(*.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)))
1.0ms
v
@0
(/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v))
1.0ms
v
@0
(*.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)))

rewrite75.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
719×log-prod_binary64
507×prod-diff_binary64
243×expm1-udef_binary64
242×log1p-udef_binary64
226×pow3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01352
129144
2394442
Stop Event
node limit
Counts
3 → 113
Calls
Call 1
Inputs
(*.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)))
(/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v))
(*.f64 (-.f64 (*.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v))) 1) m)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1)))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 v) (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))) (neg.f64 (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) 1) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (cbrt.f64 v)) (cbrt.f64 (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) (pow.f64 v 1/4)) (pow.f64 v 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (pow.f64 v -1/2)) (/.f64 (sqrt.f64 v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1 m) (neg.f64 m)) (pow.f64 v -1/2)) (neg.f64 (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 v -1/2) m) (/.f64 (sqrt.f64 v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 v -1/2) (*.f64 (-.f64 1 m) (neg.f64 m))) (neg.f64 (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 v) (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) 1)) (cbrt.f64 (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) 1))) (cbrt.f64 (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) 1)) (sqrt.f64 (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) 1)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 v -1/2) (*.f64 m (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 1 (/.f64 (sqrt.f64 v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 (-.f64 1 m) (pow.f64 v -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (*.f64 m (pow.f64 v -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (*.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (pow.f64 v -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 2) v)) (cbrt.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 v -1)) (*.f64 (cbrt.f64 (pow.f64 v -1/2)) (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (*.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (pow.f64 v -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))) (sqrt.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 m) (neg.f64 m)) (/.f64 1 (neg.f64 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 v -1/4) (*.f64 (pow.f64 v -1/4) (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 (-.f64 1 m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) 1) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) 1) (/.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (cbrt.f64 v)) (/.f64 (-.f64 1 m) (cbrt.f64 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 v)) (/.f64 (*.f64 m (-.f64 1 m)) (cbrt.f64 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) (cbrt.f64 v)) (/.f64 m (cbrt.f64 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (cbrt.f64 v)) (cbrt.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (cbrt.f64 v)) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) (cbrt.f64 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 v 1/4)) (/.f64 (-.f64 1 m) (pow.f64 v 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) (pow.f64 v 1/4)) (/.f64 m (pow.f64 v 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 v 1/4)) (/.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2) (pow.f64 v 1/4)) (/.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) (pow.f64 v 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 v -1/4) (sqrt.f64 (*.f64 m (-.f64 1 m)))) (*.f64 (pow.f64 v -1/4) (sqrt.f64 (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 v -1/2) m) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 v -1/2) (-.f64 1 m)) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 v -1/2) (pow.f64 (cbrt.f64 (*.f64 m (-.f64 1 m))) 2)) (cbrt.f64 (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 v -1/2) (sqrt.f64 (*.f64 m (-.f64 1 m)))) (sqrt.f64 (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 m (-.f64 1 m)) (neg.f64 (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 2) v))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 m (-.f64 1 m)) 3) (pow.f64 v 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 v -1/2) 3) (pow.f64 (*.f64 m (-.f64 1 m)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (-.f64 1 m))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1)) m) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1))) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1))) (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1)) 3) -1) m) (+.f64 (pow.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1)) 2) (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1)) 2) -1) m) (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1)) 3) -1)) (+.f64 (pow.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1)) 2) (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1)) 2) -1)) (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (fma.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1)) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 m (-.f64 1 m)) (pow.f64 v -1)) m (neg.f64 m))))))

simplify65.0ms (1.1%)

Algorithm
egg-herbie
Rules
679×fma-neg_binary64
421×difference-of-squares_binary64
391×unsub-neg_binary64
344×associate-/r*_binary64
332×div-sub_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034822
195806
2220728
3574720
42263696
56788696
Stop Event
node limit
Counts
173 → 141
Calls
Call 1
Inputs
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))
(*.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))
(*.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))
(*.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (*.f64 -1 m))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (*.f64 -1 m))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (*.f64 -1 m))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
Outputs
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 m (/.f64 v (-.f64 1 m)))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 m (/.f64 v (-.f64 1 m)))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 m (/.f64 v (-.f64 1 m)))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 m (/.f64 v (-.f64 1 m)))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 m (/.f64 v (-.f64 1 m)))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 m (/.f64 v (-.f64 1 m)))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 m (/.f64 v (-.f64 1 m)))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 m (/.f64 v (-.f64 1 m)))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))
(neg.f64 (/.f64 m (/.f64 v (-.f64 1 m))))
(/.f64 (neg.f64 m) (/.f64 v (-.f64 1 m)))
(*.f64 (/.f64 m v) (neg.f64 (-.f64 1 m)))
(*.f64 (/.f64 m v) (+.f64 m -1))
(*.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))
(neg.f64 (/.f64 m (/.f64 v (-.f64 1 m))))
(/.f64 (neg.f64 m) (/.f64 v (-.f64 1 m)))
(*.f64 (/.f64 m v) (neg.f64 (-.f64 1 m)))
(*.f64 (/.f64 m v) (+.f64 m -1))
(*.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))
(neg.f64 (/.f64 m (/.f64 v (-.f64 1 m))))
(/.f64 (neg.f64 m) (/.f64 v (-.f64 1 m)))
(*.f64 (/.f64 m v) (neg.f64 (-.f64 1 m)))
(*.f64 (/.f64 m v) (+.f64 m -1))
(*.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))
(neg.f64 (/.f64 m (/.f64 v (-.f64 1 m))))
(/.f64 (neg.f64 m) (/.f64 v (-.f64 1 m)))
(*.f64 (/.f64 m v) (neg.f64 (-.f64 1 m)))
(*.f64 (/.f64 m v) (+.f64 m -1))
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 m (/.f64 v (-.f64 1 m)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 m (/.f64 v (-.f64 1 m)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 m (/.f64 v (-.f64 1 m)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 m (/.f64 v (-.f64 1 m)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 m (/.f64 v (-.f64 1 m)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 m (/.f64 v (-.f64 1 m)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 m (/.f64 v (-.f64 1 m)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 m (/.f64 v (-.f64 1 m)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 m (/.f64 v (-.f64 1 m)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 m (sqrt.f64 (/.f64 1 v)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))))
(fma.f64 (sqrt.f64 (/.f64 1 v)) m (neg.f64 (*.f64 (*.f64 m m) (sqrt.f64 (/.f64 1 v)))))
(-.f64 (*.f64 m (sqrt.f64 (/.f64 1 v))) (*.f64 m (*.f64 m (sqrt.f64 (/.f64 1 v)))))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (sqrt.f64 (/.f64 1 v)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))))
(fma.f64 (sqrt.f64 (/.f64 1 v)) m (neg.f64 (*.f64 (*.f64 m m) (sqrt.f64 (/.f64 1 v)))))
(-.f64 (*.f64 m (sqrt.f64 (/.f64 1 v))) (*.f64 m (*.f64 m (sqrt.f64 (/.f64 1 v)))))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (sqrt.f64 (/.f64 1 v)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))))
(fma.f64 (sqrt.f64 (/.f64 1 v)) m (neg.f64 (*.f64 (*.f64 m m) (sqrt.f64 (/.f64 1 v)))))
(-.f64 (*.f64 m (sqrt.f64 (/.f64 1 v))) (*.f64 m (*.f64 m (sqrt.f64 (/.f64 1 v)))))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (sqrt.f64 (/.f64 1 v)))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2)))
(neg.f64 (*.f64 (*.f64 m m) (sqrt.f64 (/.f64 1 v))))
(*.f64 (*.f64 m m) (neg.f64 (sqrt.f64 (/.f64 1 v))))
(*.f64 m (*.f64 (sqrt.f64 (/.f64 1 v)) (neg.f64 m)))
(*.f64 m (*.f64 m (neg.f64 (sqrt.f64 (/.f64 1 v)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))))
(fma.f64 (sqrt.f64 (/.f64 1 v)) m (neg.f64 (*.f64 (*.f64 m m) (sqrt.f64 (/.f64 1 v)))))
(-.f64 (*.f64 m (sqrt.f64 (/.f64 1 v))) (*.f64 m (*.f64 m (sqrt.f64 (/.f64 1 v)))))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (sqrt.f64 (/.f64 1 v)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))))
(fma.f64 (sqrt.f64 (/.f64 1 v)) m (neg.f64 (*.f64 (*.f64 m m) (sqrt.f64 (/.f64 1 v)))))
(-.f64 (*.f64 m (sqrt.f64 (/.f64 1 v))) (*.f64 m (*.f64 m (sqrt.f64 (/.f64 1 v)))))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (sqrt.f64 (/.f64 1 v)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))))
(fma.f64 (sqrt.f64 (/.f64 1 v)) m (neg.f64 (*.f64 (*.f64 m m) (sqrt.f64 (/.f64 1 v)))))
(-.f64 (*.f64 m (sqrt.f64 (/.f64 1 v))) (*.f64 m (*.f64 m (sqrt.f64 (/.f64 1 v)))))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (sqrt.f64 (/.f64 1 v)))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2)))
(neg.f64 (*.f64 (*.f64 m m) (sqrt.f64 (/.f64 1 v))))
(*.f64 (*.f64 m m) (neg.f64 (sqrt.f64 (/.f64 1 v))))
(*.f64 m (*.f64 (sqrt.f64 (/.f64 1 v)) (neg.f64 m)))
(*.f64 m (*.f64 m (neg.f64 (sqrt.f64 (/.f64 1 v)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))))
(fma.f64 (sqrt.f64 (/.f64 1 v)) m (neg.f64 (*.f64 (*.f64 m m) (sqrt.f64 (/.f64 1 v)))))
(-.f64 (*.f64 m (sqrt.f64 (/.f64 1 v))) (*.f64 m (*.f64 m (sqrt.f64 (/.f64 1 v)))))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (sqrt.f64 (/.f64 1 v)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))))
(fma.f64 (sqrt.f64 (/.f64 1 v)) m (neg.f64 (*.f64 (*.f64 m m) (sqrt.f64 (/.f64 1 v)))))
(-.f64 (*.f64 m (sqrt.f64 (/.f64 1 v))) (*.f64 m (*.f64 m (sqrt.f64 (/.f64 1 v)))))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (sqrt.f64 (/.f64 1 v)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 v)) m) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 v)) (pow.f64 m 2))))
(fma.f64 (sqrt.f64 (/.f64 1 v)) m (neg.f64 (*.f64 (*.f64 m m) (sqrt.f64 (/.f64 1 v)))))
(-.f64 (*.f64 m (sqrt.f64 (/.f64 1 v))) (*.f64 m (*.f64 m (sqrt.f64 (/.f64 1 v)))))
(*.f64 (sqrt.f64 (/.f64 1 v)) (*.f64 m (-.f64 1 m)))
(*.f64 (-.f64 m (*.f64 m m)) (sqrt.f64 (/.f64 1 v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m)))
(*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))
(*.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) m)
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))))
(-.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) m)
(-.f64 (*.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) m) m)
(fma.f64 (/.f64 (-.f64 1 m) v) (*.f64 m m) (neg.f64 m))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))))
(-.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) m)
(-.f64 (*.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) m) m)
(fma.f64 (/.f64 (-.f64 1 m) v) (*.f64 m m) (neg.f64 m))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))))
(-.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) m)
(-.f64 (*.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) m) m)
(fma.f64 (/.f64 (-.f64 1 m) v) (*.f64 m m) (neg.f64 m))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))))
(-.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) m)
(-.f64 (*.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) m) m)
(fma.f64 (/.f64 (-.f64 1 m) v) (*.f64 m m) (neg.f64 m))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))))
(-.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) m)
(-.f64 (*.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) m) m)
(fma.f64 (/.f64 (-.f64 1 m) v) (*.f64 m m) (neg.f64 m))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))))
(-.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) m)
(-.f64 (*.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) m) m)
(fma.f64 (/.f64 (-.f64 1 m) v) (*.f64 m m) (neg.f64 m))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (*.f64 -1 m))
(*.f64 -1 (+.f64 (/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))) m))
(-.f64 (neg.f64 m) (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)))
(neg.f64 (fma.f64 (*.f64 (/.f64 m v) m) (-.f64 1 m) m))
(-.f64 (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -1))) m)
(*.f64 m (-.f64 (*.f64 (/.f64 m v) (+.f64 m -1)) 1))
(neg.f64 (fma.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v) m))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (*.f64 -1 m))
(*.f64 -1 (+.f64 (/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))) m))
(-.f64 (neg.f64 m) (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)))
(neg.f64 (fma.f64 (*.f64 (/.f64 m v) m) (-.f64 1 m) m))
(-.f64 (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -1))) m)
(*.f64 m (-.f64 (*.f64 (/.f64 m v) (+.f64 m -1)) 1))
(neg.f64 (fma.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v) m))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (*.f64 -1 m))
(*.f64 -1 (+.f64 (/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))) m))
(-.f64 (neg.f64 m) (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)))
(neg.f64 (fma.f64 (*.f64 (/.f64 m v) m) (-.f64 1 m) m))
(-.f64 (*.f64 m (*.f64 (/.f64 m v) (+.f64 m -1))) m)
(*.f64 m (-.f64 (*.f64 (/.f64 m v) (+.f64 m -1)) 1))
(neg.f64 (fma.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v) m))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(*.f64 m (-.f64 (/.f64 m v) 1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))))
(-.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) m)
(-.f64 (*.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) m) m)
(fma.f64 (/.f64 (-.f64 1 m) v) (*.f64 m m) (neg.f64 m))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))))
(-.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) m)
(-.f64 (*.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) m) m)
(fma.f64 (/.f64 (-.f64 1 m) v) (*.f64 m m) (neg.f64 m))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m)))
(*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))
(*.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) m)
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))))
(-.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) m)
(-.f64 (*.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) m) m)
(fma.f64 (/.f64 (-.f64 1 m) v) (*.f64 m m) (neg.f64 m))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))))
(-.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) m)
(-.f64 (*.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) m) m)
(fma.f64 (/.f64 (-.f64 1 m) v) (*.f64 m m) (neg.f64 m))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m)))
(*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))
(*.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) m)
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))))
(-.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) m)
(-.f64 (*.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) m) m)
(fma.f64 (/.f64 (-.f64 1 m) v) (*.f64 m m) (neg.f64 m))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (/.f64 (*.f64 m m) (/.f64 v (-.f64 1 m))))
(-.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) m)
(-.f64 (*.f64 (*.f64 (-.f64 1 m) (/.f64 m v)) m) m)
(fma.f64 (/.f64 (-.f64 1 m) v) (*.f64 m m) (neg.f64 m))
(*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m v) -1))

eval215.0ms (3.8%)

Compiler

Compiled 11545 to 6802 computations (41.1% saved)

prune93.0ms (1.7%)

Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New57613589
Fresh8210
Picked101
Done145
Total58619605
Error
0b
Counts
605 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
55.2b
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
9.1b
(*.f64 m (-.f64 (/.f64 m v) 1))
0.2b
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
9.1b
(+.f64 (*.f64 -1 m) (*.f64 m (*.f64 m (/.f64 1 v))))
9.2b
(*.f64 (-.f64 (*.f64 (pow.f64 v -1/2) (/.f64 m (sqrt.f64 v))) 1) m)
9.1b
(-.f64 (/.f64 m (/.f64 v m)) m)
9.1b
(*.f64 (-.f64 (*.f64 m (/.f64 1 v)) 1) m)
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
0.3b
(*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 v -1/2) m) (/.f64 (sqrt.f64 v) (-.f64 1 m))) 1) m)
61.4b
(-.f64 m (/.f64 m (/.f64 v m)))
32.4b
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
16.0b
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
37.7b
(neg.f64 m)
26.3b
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
35.0b
(*.f64 m (/.f64 m v))
55.2b
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
9.2b
(+.f64 (*.f64 -1 m) (pow.f64 (/.f64 m (sqrt.f64 v)) 2))
41.2b
(*.f64 (*.f64 m m) (/.f64 1 v))
26.2b
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
Compiler

Compiled 369 to 245 computations (33.6% saved)

localize36.0ms (0.6%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (*.f64 (pow.f64 v -1/2) m) (/.f64 (sqrt.f64 v) (-.f64 1 m)))
0.3b
(*.f64 (pow.f64 v -1/2) m)
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 v -1/2) m) (/.f64 (sqrt.f64 v) (-.f64 1 m))) 1) m)
0.0b
(/.f64 (sqrt.f64 v) (-.f64 1 m))
0.0b
(/.f64 (sqrt.f64 v) (-.f64 1 m))
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 v -1/2) m) (/.f64 (sqrt.f64 v) (-.f64 1 m))) 1) m)
0.3b
(*.f64 (pow.f64 v -1/2) m)
0.4b
(/.f64 (*.f64 (pow.f64 v -1/2) m) (/.f64 (sqrt.f64 v) (-.f64 1 m)))
Compiler

Compiled 67 to 41 computations (38.8% saved)

series11.0ms (0.2%)

Counts
4 → 72
Calls

24 calls:

TimeVariablePointExpression
1.0ms
v
@-inf
(/.f64 (sqrt.f64 v) (-.f64 1 m))
1.0ms
m
@0
(*.f64 (pow.f64 v -1/2) m)
1.0ms
v
@0
(/.f64 (sqrt.f64 v) (-.f64 1 m))
1.0ms
m
@inf
(/.f64 (sqrt.f64 v) (-.f64 1 m))
1.0ms
v
@0
(*.f64 (pow.f64 v -1/2) m)

rewrite96.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
795×prod-diff_binary64
788×log-prod_binary64
253×expm1-udef_binary64
252×log1p-udef_binary64
233×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01358
129656
2424456
Stop Event
node limit
Counts
4 → 167
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 v -1/2) m) (/.f64 (sqrt.f64 v) (-.f64 1 m)))
(*.f64 (pow.f64 v -1/2) m)
(*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 v -1/2) m) (/.f64 (sqrt.f64 v) (-.f64 1 m))) 1) m)
(/.f64 (sqrt.f64 v) (-.f64 1 m))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) 1) (*.f64 (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (pow.f64 v -1/2) (*.f64 m (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 v -1/2) (/.f64 1 (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 v -1/2) (*.f64 m (/.f64 (-.f64 1 m) (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 (pow.f64 v -1/2) (/.f64 (-.f64 1 m) (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 v -1/2) m) (/.f64 (-.f64 1 m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 v -1/2) m) (*.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))) 2) (cbrt.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))) 2) (*.f64 (cbrt.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 v -1/2) m)) 2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 v -1/2) m)) (/.f64 (-.f64 1 m) (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 v -1/4) (sqrt.f64 (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))) (/.f64 (pow.f64 v -1/4) (sqrt.f64 (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 v -1/4) (sqrt.f64 (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))) (*.f64 (/.f64 (pow.f64 v -1/4) (sqrt.f64 (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 m) (pow.f64 v -1/4)) (*.f64 (*.f64 (sqrt.f64 m) (pow.f64 v -1/4)) (/.f64 (-.f64 1 m) (sqrt.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 v -1/2) (neg.f64 m)) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 v)) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) (*.f64 (pow.f64 v -1/2) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 v -1/2) (sqrt.f64 v)) (/.f64 m (/.f64 1 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (pow.f64 v -1/2) (/.f64 1 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (*.f64 (pow.f64 v -1/2) m) (/.f64 1 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 v -1/2) m)) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 v -1/2) m)) (/.f64 1 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 m) (pow.f64 v -1/4)) (sqrt.f64 v)) (/.f64 (*.f64 (sqrt.f64 m) (pow.f64 v -1/4)) (/.f64 1 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 v -1/2) 1) (/.f64 m (/.f64 (sqrt.f64 v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (-.f64 1 m))) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 v -1/2) m)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (pow.f64 v -1/2) m)) (/.f64 (sqrt.f64 v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 m) (pow.f64 v -1/4)) 1) (/.f64 (*.f64 (sqrt.f64 m) (pow.f64 v -1/4)) (/.f64 (sqrt.f64 v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 v -1/2) (cbrt.f64 (/.f64 v (pow.f64 (-.f64 1 m) 2)))) (/.f64 m (cbrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (cbrt.f64 (/.f64 v (pow.f64 (-.f64 1 m) 2)))) (/.f64 (pow.f64 v -1/2) (cbrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 v (pow.f64 (-.f64 1 m) 2)))) (/.f64 (*.f64 (pow.f64 v -1/2) m) (cbrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 v -1/2) m)) 2) (cbrt.f64 (/.f64 v (pow.f64 (-.f64 1 m) 2)))) (cbrt.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 m) (pow.f64 v -1/4)) (cbrt.f64 (/.f64 v (pow.f64 (-.f64 1 m) 2)))) (/.f64 (*.f64 (sqrt.f64 m) (pow.f64 v -1/4)) (cbrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 v -1/2) (sqrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)))) (/.f64 m (sqrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)))) (/.f64 (pow.f64 v -1/2) (sqrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)))) (/.f64 (*.f64 (pow.f64 v -1/2) m) (sqrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 v -1/2) m)) 2) (sqrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 v -1/2) m)) (sqrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) 1) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 v -1/2) m) 1) (/.f64 (-.f64 1 m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 v -1/2) m) (neg.f64 (sqrt.f64 v))) (neg.f64 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) (cbrt.f64 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) (sqrt.f64 (-.f64 1 m))) (sqrt.f64 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 v -1/4) (sqrt.f64 (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))) (pow.f64 v -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (pow.f64 v -1/2) m) (/.f64 (neg.f64 (sqrt.f64 v)) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 v -1/2) m) (/.f64 1 (sqrt.f64 v)) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (pow.f64 v -1/2) (*.f64 m (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 v -1/2) (*.f64 m (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) 1 (*.f64 (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 v -1/2) (*.f64 m (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1)) (cbrt.f64 (fma.f64 (pow.f64 v -1/2) (*.f64 m (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1))) (cbrt.f64 (fma.f64 (pow.f64 v -1/2) (*.f64 m (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))) (cbrt.f64 (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))))) (cbrt.f64 (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (pow.f64 v -1/2) (*.f64 m (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1)) (sqrt.f64 (fma.f64 (pow.f64 v -1/2) (*.f64 m (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))) (sqrt.f64 (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 v -1/2) 1) (/.f64 m (sqrt.f64 v)) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m 1) (/.f64 (pow.f64 v -1/2) (sqrt.f64 v)) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 v -1/2) m)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (pow.f64 v -1/2) m)) (sqrt.f64 v)) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (sqrt.f64 m) (pow.f64 v -1/4)) 1) (/.f64 (*.f64 (sqrt.f64 m) (pow.f64 v -1/4)) (sqrt.f64 v)) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 v -1/2) (cbrt.f64 v)) (/.f64 m (cbrt.f64 (sqrt.f64 v))) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (cbrt.f64 v)) (/.f64 (pow.f64 v -1/2) (cbrt.f64 (sqrt.f64 v))) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 v)) (/.f64 (*.f64 (pow.f64 v -1/2) m) (cbrt.f64 (sqrt.f64 v))) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 v -1/2) m)) 2) (cbrt.f64 v)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 v -1/2) m)) (cbrt.f64 (sqrt.f64 v))) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (sqrt.f64 m) (pow.f64 v -1/4)) (cbrt.f64 v)) (/.f64 (*.f64 (sqrt.f64 m) (pow.f64 v -1/4)) (cbrt.f64 (sqrt.f64 v))) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 v -1/2) (pow.f64 v 1/4)) (/.f64 m (pow.f64 v 1/4)) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m (pow.f64 v 1/4)) (/.f64 (pow.f64 v -1/2) (pow.f64 v 1/4)) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 v 1/4)) (/.f64 (*.f64 (pow.f64 v -1/2) m) (pow.f64 v 1/4)) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 v -1/2) m)) 2) (pow.f64 v 1/4)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 v -1/2) m)) (pow.f64 v 1/4)) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (sqrt.f64 m) (pow.f64 v -1/4)) (pow.f64 v 1/4)) (/.f64 (*.f64 (sqrt.f64 m) (pow.f64 v -1/4)) (pow.f64 v 1/4)) (*.f64 (neg.f64 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 v -1/2) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (pow.f64 v -1/2))) (cbrt.f64 (pow.f64 (exp.f64 m) (pow.f64 v -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (pow.f64 v -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (pow.f64 v -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 v -1/2) m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 v -1/2) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 v -1/2) m) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 v -1/2) m)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 m) (pow.f64 v -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 m m) (pow.f64 v -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (pow.f64 v -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 v -1/2) m))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 v -1/2) m) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 v -1/2) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (pow.f64 v -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 v -1/2) m)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 v -1/2) m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 -1/2 (log.f64 v) (log.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 -1/2 (log.f64 v) (log.f64 m)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))) m) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m))))) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1))) (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 m) (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))) 3) -1) m) (+.f64 (pow.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))) 2) (fma.f64 (pow.f64 v -1/2) (*.f64 m (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))) 2) -1) m) (fma.f64 (pow.f64 v -1/2) (*.f64 m (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))) 3) -1)) (+.f64 (pow.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))) 2) (fma.f64 (pow.f64 v -1/2) (*.f64 m (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))) 2) -1)) (fma.f64 (pow.f64 v -1/2) (*.f64 m (/.f64 (-.f64 1 m) (sqrt.f64 v))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 m (fma.f64 (-.f64 1 m) (/.f64 m (/.f64 (sqrt.f64 v) (pow.f64 v -1/2))) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 v -1/2) (/.f64 (sqrt.f64 v) (*.f64 m (-.f64 1 m)))) m (neg.f64 m))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 v) (/.f64 1 (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 v) (*.f64 (cbrt.f64 (sqrt.f64 v)) (/.f64 1 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m))) (cbrt.f64 (/.f64 v (pow.f64 (-.f64 1 m) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 v (pow.f64 (-.f64 1 m) 2))) (cbrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m))) (sqrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 v 1/4) (*.f64 (pow.f64 v 1/4) (/.f64 1 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 v)) (/.f64 1 (neg.f64 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 m)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 v) 1) (/.f64 (cbrt.f64 (sqrt.f64 v)) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 v 1/4) 1) (/.f64 (pow.f64 v 1/4) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) (/.f64 (sqrt.f64 v) (cbrt.f64 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 v) (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 v 1/4) (pow.f64 (cbrt.f64 (-.f64 1 m)) 2)) (/.f64 (pow.f64 v 1/4) (cbrt.f64 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 m))) (/.f64 (sqrt.f64 v) (sqrt.f64 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 v) (sqrt.f64 (-.f64 1 m))) (/.f64 (cbrt.f64 (sqrt.f64 v)) (sqrt.f64 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) (-.f64 1 (pow.f64 m 3))) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 v) (-.f64 1 (*.f64 m m))) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 v) (neg.f64 (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 v (pow.f64 (-.f64 1 m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 v 3/2) (pow.f64 (-.f64 1 m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 v) (-.f64 1 m))) 1))))))

simplify63.0ms (1.1%)

Algorithm
egg-herbie
Rules
473×distribute-neg-frac_binary64
414×sub-neg_binary64
395×distribute-rgt-neg-in_binary64
344×distribute-lft-out_binary64
319×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0601011
1177921
2538882
31966859
45587859
Stop Event
node limit
Counts
239 → 206
Calls
Call 1
Inputs
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))
(*.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))
(*.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))
(*.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (*.f64 -1 m))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (*.f64 -1 m))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (*.f64 -1 m))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(sqrt.f64 v)
(+.f64 (*.f64 (sqrt.f64 v) m) (sqrt.f64 v))
(+.f64 (*.f64 (sqrt.f64 v) m) (+.f64 (*.f64 (sqrt.f64 v) (pow.f64 m 2)) (sqrt.f64 v)))
(+.f64 (*.f64 (sqrt.f64 v) m) (+.f64 (*.f64 (sqrt.f64 v) (pow.f64 m 2)) (+.f64 (*.f64 (sqrt.f64 v) (pow.f64 m 3)) (sqrt.f64 v))))
(*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 m)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 2)))) (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 m))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 2)))) (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 m)))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 2)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 4)))) (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 m))))))
(*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 m)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 2)))) (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 m))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 2)))) (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 m)))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 2)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 4)))) (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 m))))))
Outputs
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))
(neg.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
(/.f64 (neg.f64 m) (/.f64 v (-.f64 1 m)))
(*.f64 (/.f64 (neg.f64 m) v) (-.f64 1 m))
(/.f64 (-.f64 (*.f64 m m) m) v)
(*.f64 m (/.f64 (+.f64 m -1) v))
(*.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))
(neg.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
(/.f64 (neg.f64 m) (/.f64 v (-.f64 1 m)))
(*.f64 (/.f64 (neg.f64 m) v) (-.f64 1 m))
(/.f64 (-.f64 (*.f64 m m) m) v)
(*.f64 m (/.f64 (+.f64 m -1) v))
(*.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))
(neg.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
(/.f64 (neg.f64 m) (/.f64 v (-.f64 1 m)))
(*.f64 (/.f64 (neg.f64 m) v) (-.f64 1 m))
(/.f64 (-.f64 (*.f64 m m) m) v)
(*.f64 m (/.f64 (+.f64 m -1) v))
(*.f64 -1 (/.f64 (*.f64 m (-.f64 1 m)) v))
(neg.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
(/.f64 (neg.f64 m) (/.f64 v (-.f64 1 m)))
(*.f64 (/.f64 (neg.f64 m) v) (-.f64 1 m))
(/.f64 (-.f64 (*.f64 m m) m) v)
(*.f64 m (/.f64 (+.f64 m -1) v))
(/.f64 m v)
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(/.f64 (*.f64 (neg.f64 m) m) v)
(/.f64 (neg.f64 m) (/.f64 v m))
(*.f64 (/.f64 m v) (neg.f64 m))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(+.f64 (/.f64 m v) (*.f64 -1 (/.f64 (pow.f64 m 2) v)))
(/.f64 (*.f64 m (-.f64 1 m)) v)
(*.f64 (/.f64 m v) (-.f64 1 m))
(*.f64 (-.f64 1 m) (/.f64 m v))
(*.f64 m (/.f64 (-.f64 1 m) v))
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 m (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 m (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 m (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 m (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 m (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 m (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 m (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 m (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 m (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 m (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 m (sqrt.f64 (/.f64 1 v)))
(*.f64 (sqrt.f64 (/.f64 1 v)) m)
(*.f64 m (sqrt.f64 (/.f64 1 v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v)
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m))
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 m (/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v))
(-.f64 (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) m)
(-.f64 (/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m)) m)
(-.f64 (*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 m (/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v))
(-.f64 (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) m)
(-.f64 (/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m)) m)
(-.f64 (*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 m (/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v))
(-.f64 (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) m)
(-.f64 (/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m)) m)
(-.f64 (*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v)) m)
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 m (/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v))
(-.f64 (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) m)
(-.f64 (/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m)) m)
(-.f64 (*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 m (/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v))
(-.f64 (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) m)
(-.f64 (/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m)) m)
(-.f64 (*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v))
(fma.f64 -1 m (/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v))
(-.f64 (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) m)
(-.f64 (/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m)) m)
(-.f64 (*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v)) m)
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (*.f64 -1 m))
(fma.f64 -1 (/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v) (neg.f64 m))
(-.f64 (neg.f64 m) (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)))
(neg.f64 (fma.f64 (*.f64 (/.f64 m v) m) (-.f64 1 m) m))
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 m m) m) v) m) m)
(-.f64 (*.f64 m (*.f64 m (/.f64 (+.f64 m -1) v))) m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (*.f64 -1 m))
(fma.f64 -1 (/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v) (neg.f64 m))
(-.f64 (neg.f64 m) (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)))
(neg.f64 (fma.f64 (*.f64 (/.f64 m v) m) (-.f64 1 m) m))
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 m m) m) v) m) m)
(-.f64 (*.f64 m (*.f64 m (/.f64 (+.f64 m -1) v))) m)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)) (*.f64 -1 m))
(fma.f64 -1 (/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v) (neg.f64 m))
(-.f64 (neg.f64 m) (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)))
(neg.f64 (fma.f64 (*.f64 (/.f64 m v) m) (-.f64 1 m) m))
(-.f64 (*.f64 (/.f64 (-.f64 (*.f64 m m) m) v) m) m)
(-.f64 (*.f64 m (*.f64 m (/.f64 (+.f64 m -1) v))) m)
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v))
(-.f64 (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) m)
(-.f64 (/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m)) m)
(-.f64 (*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v)) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v))
(-.f64 (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) m)
(-.f64 (/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m)) m)
(-.f64 (*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v)) m)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v)
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m))
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v))
(-.f64 (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) m)
(-.f64 (/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m)) m)
(-.f64 (*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v)) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v))
(-.f64 (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) m)
(-.f64 (/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m)) m)
(-.f64 (*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v)) m)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v)
(*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m))
(/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m))
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v))
(-.f64 (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) m)
(-.f64 (/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m)) m)
(-.f64 (*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v)) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v)))
(fma.f64 -1 m (/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v))
(-.f64 (*.f64 (/.f64 m (/.f64 v m)) (-.f64 1 m)) m)
(-.f64 (/.f64 (-.f64 1 m) (/.f64 (/.f64 v m) m)) m)
(-.f64 (*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v)) m)
(sqrt.f64 v)
(+.f64 (*.f64 (sqrt.f64 v) m) (sqrt.f64 v))
(fma.f64 (sqrt.f64 v) m (sqrt.f64 v))
(fma.f64 m (sqrt.f64 v) (sqrt.f64 v))
(*.f64 (sqrt.f64 v) (+.f64 m 1))
(+.f64 (*.f64 (sqrt.f64 v) m) (+.f64 (*.f64 (sqrt.f64 v) (pow.f64 m 2)) (sqrt.f64 v)))
(fma.f64 (sqrt.f64 v) m (fma.f64 (sqrt.f64 v) (*.f64 m m) (sqrt.f64 v)))
(+.f64 (sqrt.f64 v) (*.f64 (sqrt.f64 v) (+.f64 m (*.f64 m m))))
(*.f64 (sqrt.f64 v) (+.f64 (fma.f64 m m 1) m))
(*.f64 (sqrt.f64 v) (+.f64 m (fma.f64 m m 1)))
(+.f64 (*.f64 (sqrt.f64 v) m) (+.f64 (*.f64 (sqrt.f64 v) (pow.f64 m 2)) (+.f64 (*.f64 (sqrt.f64 v) (pow.f64 m 3)) (sqrt.f64 v))))
(fma.f64 (sqrt.f64 v) m (fma.f64 (sqrt.f64 v) (*.f64 m m) (fma.f64 (sqrt.f64 v) (pow.f64 m 3) (sqrt.f64 v))))
(+.f64 (*.f64 (+.f64 (pow.f64 m 3) 1) (sqrt.f64 v)) (*.f64 (sqrt.f64 v) (+.f64 m (*.f64 m m))))
(+.f64 (sqrt.f64 v) (*.f64 (sqrt.f64 v) (+.f64 m (fma.f64 m m (pow.f64 m 3)))))
(*.f64 (+.f64 m 1) (*.f64 (sqrt.f64 v) (fma.f64 m m 1)))
(*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 m)))
(neg.f64 (*.f64 (sqrt.f64 v) (/.f64 1 m)))
(/.f64 (neg.f64 (sqrt.f64 v)) m)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 2)))) (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 m))))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 v) (/.f64 1 (*.f64 m m))) (*.f64 (sqrt.f64 v) (/.f64 1 m))))
(-.f64 (/.f64 (neg.f64 (sqrt.f64 v)) m) (/.f64 (sqrt.f64 v) (*.f64 m m)))
(*.f64 (/.f64 (sqrt.f64 v) m) (-.f64 -1 (/.f64 1 m)))
(*.f64 (/.f64 (sqrt.f64 v) m) (+.f64 -1 (/.f64 -1 m)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 2)))) (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 m)))))
(fma.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 3))) (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 v) (/.f64 1 (*.f64 m m))) (*.f64 (sqrt.f64 v) (/.f64 1 m)))))
(-.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 v)) m) (/.f64 (sqrt.f64 v) (*.f64 m m))) (/.f64 (sqrt.f64 v) (pow.f64 m 3)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 v) m) (-.f64 -1 (/.f64 1 m))) (/.f64 (sqrt.f64 v) (pow.f64 m 3)))
(*.f64 (/.f64 (sqrt.f64 v) m) (+.f64 (+.f64 -1 (/.f64 -1 m)) (/.f64 (/.f64 -1 m) m)))
(*.f64 (/.f64 (sqrt.f64 v) m) (+.f64 -1 (+.f64 (/.f64 (/.f64 -1 m) m) (/.f64 -1 m))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 2)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 4)))) (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 m))))))
(fma.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 3))) (fma.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (*.f64 m m))) (fma.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 4))) (neg.f64 (*.f64 (sqrt.f64 v) (/.f64 1 m))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 v)) m) (/.f64 (sqrt.f64 v) (pow.f64 m 4))) (/.f64 (sqrt.f64 v) (*.f64 m m))) (/.f64 (sqrt.f64 v) (pow.f64 m 3)))
(-.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 v) m) (-.f64 -1 (/.f64 1 m))) (/.f64 (sqrt.f64 v) (pow.f64 m 4))) (/.f64 (sqrt.f64 v) (pow.f64 m 3)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 v) (pow.f64 m 3)) (+.f64 -1 (/.f64 -1 m))) (/.f64 (+.f64 (sqrt.f64 v) (/.f64 (sqrt.f64 v) m)) m))
(*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 m)))
(neg.f64 (*.f64 (sqrt.f64 v) (/.f64 1 m)))
(/.f64 (neg.f64 (sqrt.f64 v)) m)
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 2)))) (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 m))))
(*.f64 -1 (+.f64 (*.f64 (sqrt.f64 v) (/.f64 1 (*.f64 m m))) (*.f64 (sqrt.f64 v) (/.f64 1 m))))
(-.f64 (/.f64 (neg.f64 (sqrt.f64 v)) m) (/.f64 (sqrt.f64 v) (*.f64 m m)))
(*.f64 (/.f64 (sqrt.f64 v) m) (-.f64 -1 (/.f64 1 m)))
(*.f64 (/.f64 (sqrt.f64 v) m) (+.f64 -1 (/.f64 -1 m)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 2)))) (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 m)))))
(fma.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 3))) (*.f64 -1 (+.f64 (*.f64 (sqrt.f64 v) (/.f64 1 (*.f64 m m))) (*.f64 (sqrt.f64 v) (/.f64 1 m)))))
(-.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 v)) m) (/.f64 (sqrt.f64 v) (*.f64 m m))) (/.f64 (sqrt.f64 v) (pow.f64 m 3)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 v) m) (-.f64 -1 (/.f64 1 m))) (/.f64 (sqrt.f64 v) (pow.f64 m 3)))
(*.f64 (/.f64 (sqrt.f64 v) m) (+.f64 (+.f64 -1 (/.f64 -1 m)) (/.f64 (/.f64 -1 m) m)))
(*.f64 (/.f64 (sqrt.f64 v) m) (+.f64 -1 (+.f64 (/.f64 (/.f64 -1 m) m) (/.f64 -1 m))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 3)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 2)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 4)))) (*.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 m))))))
(fma.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 3))) (fma.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (*.f64 m m))) (fma.f64 -1 (*.f64 (sqrt.f64 v) (/.f64 1 (pow.f64 m 4))) (neg.f64 (*.f64 (sqrt.f64 v) (/.f64 1 m))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (sqrt.f64 v)) m) (/.f64 (sqrt.f64 v) (pow.f64 m 4))) (/.f64 (sqrt.f64 v) (*.f64 m m))) (/.f64 (sqrt.f64 v) (pow.f64 m 3)))
(-.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 v) m) (-.f64 -1 (/.f64 1 m))) (/.f64 (sqrt.f64 v) (pow.f64 m 4))) (/.f64 (sqrt.f64 v) (pow.f64 m 3)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 v) (pow.f64 m 3)) (+.f64 -1 (/.f64 -1 m))) (/.f64 (+.f64 (sqrt.f64 v) (/.f64 (sqrt.f64 v) m)) m))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 m (/.f64 m v))
0.2b
(*.f64 m (/.f64 m v))
Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
m
@0
(*.f64 m (/.f64 m v))
0.0ms
m
@inf
(*.f64 m (/.f64 m v))
0.0ms
m
@-inf
(*.f64 m (/.f64 m v))
0.0ms
v
@-inf
(*.f64 m (/.f64 m v))
0.0ms
v
@inf
(*.f64 m (/.f64 m v))

rewrite40.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
568×pow1_binary64
525×add-log-exp_binary64
525×log1p-expm1-u_binary64
525×expm1-log1p-u_binary64
513×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11057
214107
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(*.f64 m (/.f64 m v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 m m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 m) m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (neg.f64 m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 m v))))))))

simplify91.0ms (1.6%)

Algorithm
egg-herbie
Rules
784×sqr-pow_binary64
434×unswap-sqr_binary64
423×associate-*r/_binary64
410×*-commutative_binary64
395×associate-/r/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
111168
220168
337168
483168
5256168
61053168
73447168
84249168
94434168
104650168
114981168
125411168
135891168
146535168
157220168
Stop Event
node limit
Counts
44 → 22
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
Outputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 m (/.f64 v m))
0.0b
(-.f64 (/.f64 m (/.f64 v m)) m)
0.0b
(-.f64 (/.f64 m (/.f64 v m)) m)
0.2b
(/.f64 m (/.f64 v m))
Compiler

Compiled 19 to 5 computations (73.7% saved)

series3.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
m
@0
(/.f64 m (/.f64 v m))
0.0ms
v
@0
(-.f64 (/.f64 m (/.f64 v m)) m)
0.0ms
m
@0
(-.f64 (/.f64 m (/.f64 v m)) m)
0.0ms
v
@-inf
(-.f64 (/.f64 m (/.f64 v m)) m)
0.0ms
v
@inf
(/.f64 m (/.f64 v m))

rewrite56.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
885×pow1_binary64
827×add-log-exp_binary64
827×log1p-expm1-u_binary64
827×expm1-log1p-u_binary64
808×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
114117
2222717
Stop Event
node limit
Counts
2 → 76
Calls
Call 1
Inputs
(/.f64 m (/.f64 v m))
(-.f64 (/.f64 m (/.f64 v m)) m)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) (pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 2) (cbrt.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 m) 2) (*.f64 (cbrt.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 m (/.f64 m v))) (sqrt.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 m) (/.f64 1 (/.f64 (neg.f64 v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) 1) (/.f64 (cbrt.f64 m) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) 1) (/.f64 (sqrt.f64 m) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) v) (/.f64 (sqrt.f64 m) (/.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (/.f64 m (/.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) v) (/.f64 (cbrt.f64 m) (/.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (/.f64 m (cbrt.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (cbrt.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 m) (pow.f64 (cbrt.f64 (/.f64 v m)) 2)) (/.f64 (sqrt.f64 m) (cbrt.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 v m))) (/.f64 m (sqrt.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 (/.f64 v m))) (/.f64 (cbrt.f64 m) (sqrt.f64 (/.f64 v m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (neg.f64 v)) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) 1) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) (pow.f64 (cbrt.f64 m) 2)) (cbrt.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) (sqrt.f64 m)) (sqrt.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (/.f64 m v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 m (/.f64 (neg.f64 v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 m v))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m v)) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m v)) (*.f64 (neg.f64 m) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 m (/.f64 m v)) m) (fma.f64 (neg.f64 m) 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 m (/.f64 m v)) m) (fma.f64 (neg.f64 (cbrt.f64 m)) (pow.f64 (cbrt.f64 m) 2) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 m (/.f64 m v)) m) (fma.f64 (neg.f64 (sqrt.f64 m)) (sqrt.f64 m) m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 m) (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (-.f64 (/.f64 m v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 m (/.f64 m v)) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 m (/.f64 m v)) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)) 2) (cbrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)) (sqrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m)) (/.f64 1 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 m (/.f64 m v))) (sqrt.f64 m)) (-.f64 (sqrt.f64 (*.f64 m (/.f64 m v))) (sqrt.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m))) (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 m (/.f64 m v) m) (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3)) (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m)) (fma.f64 m (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m (fma.f64 m (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m))) (neg.f64 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 (neg.f64 m) 3)) (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (-.f64 (*.f64 (neg.f64 m) (neg.f64 m)) (*.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 (neg.f64 m) (neg.f64 m))) (-.f64 (*.f64 m (/.f64 m v)) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 m (/.f64 m v)) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 m (/.f64 m v)) m) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 m (/.f64 m v)) m)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 m (/.f64 m v)) m) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (*.f64 m (/.f64 m v)) m)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 m (/.f64 m v)) m) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 m (/.f64 m v)) m)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 m (/.f64 m v)) m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 m (/.f64 m v)) m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 m v) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 m (/.f64 m v)) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 2) (cbrt.f64 (*.f64 m (/.f64 m v))) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 m (/.f64 m v))) (sqrt.f64 (*.f64 m (/.f64 m v))) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) m (neg.f64 m))))))

simplify36.0ms (0.6%)

Algorithm
egg-herbie
Rules
613×associate-/r/_binary64
478×associate-/r*_binary64
435×fma-def_binary64
434×unswap-sqr_binary64
426×associate-/l/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09396
118378
230378
361378
4143378
5472378
62196378
Stop Event
node limit
Counts
124 → 81
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
Outputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 (*.f64 m m) v) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 m (+.f64 -1 (/.f64 m v)))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
2.3b
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
2.3b
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
Compiler

Compiled 21 to 6 computations (71.4% saved)

series4.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
v
@0
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
1.0ms
m
@0
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
1.0ms
v
@inf
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
1.0ms
m
@inf
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
0.0ms
m
@-inf
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))

rewrite43.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
678×pow1_binary64
628×add-log-exp_binary64
627×log1p-expm1-u_binary64
627×expm1-log1p-u_binary64
612×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0712
11537
222297
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 m 3) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 m 3) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 m 3) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 m 3) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 m 3) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 m 3) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 m 3) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (cbrt.f64 v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (sqrt.f64 (/.f64 m v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 m m) 3) (pow.f64 (/.f64 m v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 m v) 3) (pow.f64 (*.f64 m m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 m 3) v)))))))

simplify54.0ms (1%)

Algorithm
egg-herbie
Rules
974×fma-def_binary64
619×fma-neg_binary64
552×distribute-rgt-neg-in_binary64
503×distribute-lft-neg-in_binary64
487×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08216
120216
244216
398216
4261216
5777216
62870216
74657216
87641216
Stop Event
node limit
Counts
45 → 23
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
Outputs
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)

localize33.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
12.7b
(/.f64 (*.f64 m m) v)
0.0b
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
0.0b
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
12.7b
(/.f64 (*.f64 m m) v)
Compiler

Compiled 25 to 10 computations (60% saved)

series3.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
m
@0
(/.f64 (*.f64 m m) v)
0.0ms
m
@-inf
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
0.0ms
m
@0
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
0.0ms
m
@inf
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
0.0ms
v
@inf
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))

rewrite55.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
972×pow1_binary64
908×add-log-exp_binary64
907×log1p-expm1-u_binary64
907×expm1-log1p-u_binary64
88×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
117220
2241020
Stop Event
node limit
Counts
2 → 81
Calls
Call 1
Inputs
(/.f64 (*.f64 m m) v)
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 m v) m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (/.f64 1 (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 m (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 m v) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 m v) m)) (cbrt.f64 (/.f64 (pow.f64 m 4) (*.f64 v v))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 m 4) (*.f64 v v))) (cbrt.f64 (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 m 4)) (*.f64 (pow.f64 (cbrt.f64 m) 2) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) (/.f64 m (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (neg.f64 m)) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 m v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m v) m)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) 1) (/.f64 (pow.f64 (cbrt.f64 m) 2) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 m (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (*.f64 m m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 m 4)) (sqrt.f64 v)) (/.f64 (pow.f64 (cbrt.f64 m) 2) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 m v) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 m v) m) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 m v) m)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m m)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 m m) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 m 4) (*.f64 v v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 m v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 m v) m) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 m m) 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 m v) m)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m v) m) (*.f64 (neg.f64 m) (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m v) m) (*.f64 (*.f64 (/.f64 m v) m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 m) (/.f64 v (*.f64 m m))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 (*.f64 m m) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 m) (/.f64 v (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 m 3)) (*.f64 (/.f64 v (*.f64 m m)) (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 m m)) (*.f64 (/.f64 v (*.f64 m m)) (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 m m) (-.f64 1 m))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (pow.f64 m 3))) (*.f64 (/.f64 v m) (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (-.f64 1 (pow.f64 m 3))) (*.f64 v (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (neg.f64 m)) (-.f64 1 (pow.f64 m 3))) (*.f64 (neg.f64 v) (+.f64 1 (fma.f64 m m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 (*.f64 m m))) (*.f64 (/.f64 v m) (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (-.f64 1 (*.f64 m m))) (*.f64 v (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (neg.f64 m)) (-.f64 1 (*.f64 m m))) (*.f64 (neg.f64 v) (+.f64 m 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) m) (*.f64 (+.f64 1 (fma.f64 m m m)) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) m) (*.f64 (+.f64 m 1) (/.f64 v m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (*.f64 m m)) (*.f64 (+.f64 1 (fma.f64 m m m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (*.f64 m m)) (*.f64 (+.f64 m 1) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) 1) (*.f64 (+.f64 1 (fma.f64 m m m)) (/.f64 v (*.f64 m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) 1) (*.f64 (+.f64 m 1) (/.f64 v (*.f64 m m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (*.f64 m (neg.f64 m))) (*.f64 (+.f64 1 (fma.f64 m m m)) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (*.f64 m (neg.f64 m))) (*.f64 (+.f64 m 1) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m (neg.f64 m)) (-.f64 1 m)) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (*.f64 (/.f64 m v) m)) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (*.f64 (/.f64 m v) m)) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 m v) m) (-.f64 1 (pow.f64 m 3))) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 m v) m) (-.f64 1 (*.f64 m m))) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 m) m) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 m) (*.f64 m (neg.f64 m))) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 m) (/.f64 v (*.f64 m m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 m) (/.f64 v (*.f64 m m))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 m) (/.f64 v (*.f64 m m)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 (-.f64 1 m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 m) (/.f64 v (*.f64 m m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 m)) (*.f64 (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 m) (/.f64 v (*.f64 m m))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 m) (/.f64 v (*.f64 m m))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 m v) m) 3) (pow.f64 (-.f64 1 m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 (*.f64 (/.f64 m v) m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 m) (/.f64 v (*.f64 m m)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 m) (/.f64 v (*.f64 m m)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 m) (/.f64 v (*.f64 m m)))))))))

simplify55.0ms (1%)

Algorithm
egg-herbie
Rules
817×fma-def_binary64
402×fma-neg_binary64
353×cancel-sign-sub-inv_binary64
320×associate-*l/_binary64
249×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016550
140529
288529
3236466
4842466
52891466
67616466
Stop Event
node limit
Counts
129 → 88
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
Outputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (/.f64 (*.f64 m m) v) (/.f64 (pow.f64 m 3) v))
(/.f64 m (/.f64 v (fma.f64 m (neg.f64 m) m)))
(*.f64 m (*.f64 m (/.f64 (-.f64 1 m) v)))
(*.f64 (*.f64 m (/.f64 m v)) (-.f64 1 m))

eval241.0ms (4.3%)

Compiler

Compiled 7106 to 3987 computations (43.9% saved)

prune79.0ms (1.4%)

Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New4119420
Fresh5510
Picked101
Done358
Total42019439
Error
0b
Counts
439 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
32.5b
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
37.7b
(neg.f64 m)
55.2b
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
0.2b
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
9.2b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 m (/.f64 m v))) 2) m)
16.0b
(-.f64 (/.f64 (*.f64 m m) v) m)
41.2b
(/.f64 (*.f64 m m) v)
35.0b
(*.f64 m (/.f64 m v))
34.9b
(/.f64 m (/.f64 v m))
55.2b
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
9.2b
(-.f64 (*.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (/.f64 m v))) m)
35.1b
(pow.f64 (/.f64 m (sqrt.f64 v)) 2)
41.2b
(*.f64 (*.f64 m m) (/.f64 1 v))
26.2b
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m))
26.3b
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
9.1b
(+.f64 (*.f64 -1 m) (*.f64 m (*.f64 m (/.f64 1 v))))
9.1b
(*.f64 (-.f64 (/.f64 m v) 1) m)
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
61.4b
(-.f64 m (/.f64 m (/.f64 v m)))
Compiler

Compiled 325 to 205 computations (36.9% saved)

localize14.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.3b
(*.f64 m (/.f64 1 v))
0.2b
(*.f64 m (*.f64 m (/.f64 1 v)))
0.0b
(+.f64 (*.f64 -1 m) (*.f64 m (*.f64 m (/.f64 1 v))))
0.0b
(+.f64 (*.f64 -1 m) (*.f64 m (*.f64 m (/.f64 1 v))))
0.2b
(*.f64 m (*.f64 m (/.f64 1 v)))
0.3b
(*.f64 m (/.f64 1 v))
Compiler

Compiled 35 to 22 computations (37.1% saved)

series6.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
0.0ms
m
@0
(*.f64 m (/.f64 1 v))
0.0ms
m
@inf
(*.f64 m (/.f64 1 v))
0.0ms
v
@inf
(*.f64 m (/.f64 1 v))
0.0ms
v
@-inf
(*.f64 m (/.f64 1 v))
0.0ms
v
@0
(*.f64 m (/.f64 1 v))

rewrite68.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
919×pow1_binary64
853×add-log-exp_binary64
852×log1p-expm1-u_binary64
852×expm1-log1p-u_binary64
102×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01022
120819
2286419
Stop Event
node limit
Counts
3 → 89
Calls
Call 1
Inputs
(*.f64 m (/.f64 1 v))
(*.f64 m (*.f64 m (/.f64 1 v)))
(+.f64 (*.f64 -1 m) (*.f64 m (*.f64 m (/.f64 1 v))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 m) 2) (/.f64 v (cbrt.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 m) (/.f64 v (sqrt.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 m (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 m 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 m (cbrt.f64 (*.f64 v v))) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 m v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 m v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 m v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 m v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 m v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 m 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (/.f64 (pow.f64 v -2) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 v -2) v) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 m v)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (/.f64 m v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (pow.f64 v -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 m v))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 m (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 m (/.f64 m v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 m (/.f64 m v) m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 m m) (fma.f64 m (/.f64 m v) m)) (/.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (-.f64 -1 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (+.f64 (/.f64 m v) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (+.f64 -1 (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 m (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 m (/.f64 m v) m) 2) (/.f64 1 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 m (/.f64 m v) m)) (pow.f64 (cbrt.f64 (fma.f64 m (/.f64 m v) m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 m (/.f64 m v) m)) 2) (cbrt.f64 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 m (/.f64 m v) m)) (sqrt.f64 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3)) (/.f64 1 (fma.f64 m m (*.f64 (*.f64 m (/.f64 m v)) (fma.f64 m (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 m (/.f64 m v) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 m) (*.f64 m (pow.f64 v -1/2))) (-.f64 (sqrt.f64 m) (*.f64 m (pow.f64 v -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 m m (*.f64 (*.f64 m (/.f64 m v)) (fma.f64 m (/.f64 m v) m))) (+.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 m (/.f64 m v) m) (pow.f64 (fma.f64 m (/.f64 m v) m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 m (/.f64 m v) m) 2) (fma.f64 m (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3)) (fma.f64 m m (*.f64 (*.f64 m (/.f64 m v)) (fma.f64 m (/.f64 m v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3)) (+.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (-.f64 (*.f64 m m) (*.f64 (*.f64 m m) (/.f64 m v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3))) (neg.f64 (fma.f64 m m (*.f64 (*.f64 m (/.f64 m v)) (fma.f64 m (/.f64 m v) m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 m (/.f64 m v) m) 2)) (neg.f64 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3)) (fma.f64 m m (*.f64 (*.f64 m (/.f64 m v)) (fma.f64 m (/.f64 m v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2) (*.f64 m m)) (fma.f64 m (/.f64 m v) m))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 m (/.f64 m v) m) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 m (/.f64 m v) m)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 m (/.f64 m v) m)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 m (/.f64 m v) m) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 m (/.f64 m v) m) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 m (/.f64 m v) m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 m) (pow.f64 (exp.f64 m) (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 m (/.f64 m v) m) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 m (/.f64 m v) m)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m (/.f64 m v) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m -1 (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m -1 (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 m (/.f64 m v)) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 m v) m m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 m (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 m (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m m) (/.f64 1 v) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 m) 2) (cbrt.f64 m) (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2)) (cbrt.f64 (*.f64 m (/.f64 m v))) m)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (neg.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 m (pow.f64 v -1/2)) (*.f64 m (pow.f64 v -1/2)) m)))))

simplify40.0ms (0.7%)

Algorithm
egg-herbie
Rules
635×associate-/r/_binary64
477×associate-/r*_binary64
449×fma-def_binary64
436×associate-/l/_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010492
119474
231474
362474
4147474
5500474
62249474
Stop Event
node limit
Counts
161 → 95
Calls
Call 1
Inputs
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (pow.f64 m 2) v)
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
Outputs
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 m v)
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (/.f64 (*.f64 m m) v) m)
(fma.f64 m (/.f64 m v) (neg.f64 m))

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 m (/.f64 v m))
0.2b
(/.f64 m (/.f64 v m))
Compiler

Compiled 12 to 4 computations (66.7% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (-.f64 (/.f64 m v) 1) m)
0.2b
(*.f64 (-.f64 (/.f64 m v) 1) m)
Compiler

Compiled 20 to 9 computations (55% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
m
@0
(*.f64 (-.f64 (/.f64 m v) 1) m)
0.0ms
m
@-inf
(*.f64 (-.f64 (/.f64 m v) 1) m)
0.0ms
m
@inf
(*.f64 (-.f64 (/.f64 m v) 1) m)
0.0ms
v
@-inf
(*.f64 (-.f64 (/.f64 m v) 1) m)
0.0ms
v
@0
(*.f64 (-.f64 (/.f64 m v) 1) m)

rewrite49.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
796×pow1_binary64
740×add-log-exp_binary64
739×log1p-expm1-u_binary64
739×expm1-log1p-u_binary64
725×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115010
2201010
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 m v) 1) m)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 m v) m) (neg.f64 m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m (/.f64 m v)) (*.f64 m -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 m (+.f64 (/.f64 m v) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 3) -1) m) (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 m v) 2) -1) m) (+.f64 (/.f64 m v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 m v) 3) -1)) (+.f64 (pow.f64 (/.f64 m v) 2) (+.f64 (/.f64 m v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 m v) 2) -1)) (+.f64 (/.f64 m v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (+.f64 (/.f64 m v) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (+.f64 (/.f64 m v) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (+.f64 (/.f64 m v) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 m (+.f64 (/.f64 m v) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (+.f64 (/.f64 m v) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (+.f64 (/.f64 m v) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (+.f64 (/.f64 m v) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (+.f64 (/.f64 m v) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 m v) -1) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (+.f64 (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (+.f64 (/.f64 m v) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (+.f64 (/.f64 m v) -1))))))))

simplify137.0ms (2.4%)

Algorithm
egg-herbie
Rules
622×associate-/r/_binary64
478×associate-/r*_binary64
435×fma-def_binary64
434×unswap-sqr_binary64
427×associate-/l/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09228
118210
230210
361210
4144210
5467210
62152210
Stop Event
node limit
Counts
43 → 25
Calls
Call 1
Inputs
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
Outputs
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(*.f64 -1 m)
(neg.f64 m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 m (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 (*.f64 (/.f64 m v) m) m)
(-.f64 (*.f64 m (/.f64 m v)) m)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 m (/.f64 (neg.f64 m) v))
0.2b
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
0.2b
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
0.2b
(*.f64 m (/.f64 (neg.f64 m) v))
Compiler

Compiled 24 to 6 computations (75% saved)

series4.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
m
@0
(*.f64 m (/.f64 (neg.f64 m) v))
0.0ms
m
@inf
(*.f64 m (/.f64 (neg.f64 m) v))
0.0ms
v
@0
(*.f64 m (/.f64 (neg.f64 m) v))
0.0ms
m
@-inf
(*.f64 m (/.f64 (neg.f64 m) v))
0.0ms
m
@inf
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))

rewrite49.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
687×pow1_binary64
634×add-log-exp_binary64
633×log1p-expm1-u_binary64
633×expm1-log1p-u_binary64
620×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0721
115214
2223114
Stop Event
node limit
Counts
2 → 39
Calls
Call 1
Inputs
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 m (/.f64 m v))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 m (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 v (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) 1) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 m m) (sqrt.f64 v)) (sqrt.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (/.f64 m v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (/.f64 m v))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 v)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 m (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (/.f64 m v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (/.f64 m v) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 m v) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (/.f64 m v))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (/.f64 m v))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (pow.f64 m 3) v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 m m) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 m 3) v)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 m 3) (neg.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) 1) (/.f64 v m))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 m 3) v) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 m 3) v)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (sqrt.f64 (/.f64 m v))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 m 3) v))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 m 3) v) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 m 3) (pow.f64 (*.f64 m (/.f64 m v)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 m (/.f64 m v)) 3) (pow.f64 m 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 m 3) v)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 m 3) v)))))))

simplify50.0ms (0.9%)

Algorithm
egg-herbie
Rules
818×distribute-rgt-neg-in_binary64
752×distribute-lft-neg-in_binary64
548×fma-def_binary64
536×unswap-sqr_binary64
509×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012432
132432
269432
3156432
4483432
52302432
65023432
Stop Event
node limit
Counts
87 → 43
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
Outputs
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 2) v))
(neg.f64 (/.f64 (*.f64 m m) v))
(*.f64 (/.f64 m v) (neg.f64 m))
(*.f64 m (neg.f64 (/.f64 m v)))
(*.f64 m (/.f64 (neg.f64 m) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(neg.f64 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
12.7b
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
0.0b
(*.f64 (*.f64 m m) (-.f64 1 m))
0.0b
(*.f64 (*.f64 m m) (-.f64 1 m))
12.7b
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
Compiler

Compiled 27 to 13 computations (51.9% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
m
@inf
(*.f64 (*.f64 m m) (-.f64 1 m))
0.0ms
m
@0
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
0.0ms
m
@-inf
(*.f64 (*.f64 m m) (-.f64 1 m))
0.0ms
m
@inf
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
0.0ms
m
@-inf
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)

rewrite56.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
981×pow1_binary64
917×add-log-exp_binary64
916×log1p-expm1-u_binary64
916×expm1-log1p-u_binary64
88×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
117223
2242823
Stop Event
node limit
Counts
2 → 66
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
(*.f64 (*.f64 m m) (-.f64 1 m))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 m (*.f64 (*.f64 m (-.f64 1 m)) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (/.f64 1 (/.f64 v (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m m) (*.f64 (-.f64 1 m) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 m) (*.f64 (*.f64 m m) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (*.f64 m (-.f64 1 m))) (/.f64 1 v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))) 2) (cbrt.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (-.f64 1 m)))) 2) (*.f64 (cbrt.f64 (*.f64 m (*.f64 m (-.f64 1 m)))) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 (/.f64 v (-.f64 1 m)))) (/.f64 m (sqrt.f64 (/.f64 v (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 m (sqrt.f64 (-.f64 1 m))) (*.f64 (*.f64 m (sqrt.f64 (-.f64 1 m))) (/.f64 1 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 m) (neg.f64 (*.f64 m m))) (/.f64 1 (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 v) (*.f64 m (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m 1) (/.f64 (*.f64 m (-.f64 1 m)) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m m) 1) (/.f64 (-.f64 1 m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) 1) (/.f64 (*.f64 m m) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (-.f64 1 m)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 m (*.f64 m (-.f64 1 m)))) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m (sqrt.f64 (-.f64 1 m))) 1) (/.f64 (*.f64 m (sqrt.f64 (-.f64 1 m))) v))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m (-.f64 1 m)) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (-.f64 1 m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m (*.f64 m (-.f64 1 m))) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m m) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (-.f64 1 m)))) 2) (pow.f64 (cbrt.f64 v) 2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m (sqrt.f64 (-.f64 1 m))) (pow.f64 (cbrt.f64 v) 2)) (/.f64 (*.f64 m (sqrt.f64 (-.f64 1 m))) (cbrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 m (sqrt.f64 v)) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 m m) (sqrt.f64 v)) (/.f64 (-.f64 1 m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 m) (sqrt.f64 v)) (/.f64 (*.f64 m m) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 v)) (/.f64 (*.f64 m (*.f64 m (-.f64 1 m))) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (-.f64 1 m)))) 2) (sqrt.f64 v)) (/.f64 (cbrt.f64 (*.f64 m (*.f64 m (-.f64 1 m)))) (sqrt.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 m (sqrt.f64 (/.f64 v (-.f64 1 m)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 v (*.f64 m (*.f64 m (-.f64 1 m)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 m (*.f64 m (-.f64 1 m))) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 m (*.f64 m (-.f64 1 m))) 3) (pow.f64 v 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 m m) v) (-.f64 1 m))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m m) (*.f64 (neg.f64 m) (*.f64 m m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 m m) (*.f64 (*.f64 m m) (neg.f64 m)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 m (*.f64 m (-.f64 1 m))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 m 3)) (*.f64 m m)) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 m m)) (*.f64 m m)) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (-.f64 1 (pow.f64 m 3))) (+.f64 1 (fma.f64 m m m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 m m) (-.f64 1 (*.f64 m m))) (+.f64 m 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (*.f64 m (-.f64 1 m))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 m (*.f64 m (-.f64 1 m))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 m (*.f64 m (-.f64 1 m)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 m (sqrt.f64 (-.f64 1 m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (-.f64 1 m) 2) (pow.f64 m 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 m) (*.f64 m (-.f64 1 m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 m (*.f64 m (-.f64 1 m))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 m (*.f64 m (-.f64 1 m))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 m m) 3) (pow.f64 (-.f64 1 m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 m) 3) (pow.f64 (*.f64 m m) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 m (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 m (*.f64 m (-.f64 1 m)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 m (*.f64 m (-.f64 1 m)))))))))

simplify39.0ms (0.7%)

Algorithm
egg-herbie
Rules
530×fma-neg_binary64
392×cancel-sign-sub-inv_binary64
359×associate-*l/_binary64
286×*-commutative_binary64
272×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
018497
145467
2108467
3305404
41041404
53545404
Stop Event
node limit
Counts
102 → 79
Calls
Call 1
Inputs
(/.f64 (pow.f64 m 2) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(pow.f64 m 2)
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(*.f64 -1 (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(*.f64 -1 (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
Outputs
(/.f64 (pow.f64 m 2) v)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 (/.f64 m v) m)
(*.f64 m (/.f64 m v))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(*.f64 -1 (/.f64 (pow.f64 m 3) v))
(/.f64 (neg.f64 (pow.f64 m 3)) v)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(fma.f64 -1 (/.f64 (pow.f64 m 3) v) (/.f64 (*.f64 m m) v))
(-.f64 (/.f64 m (/.f64 v m)) (/.f64 (pow.f64 m 3) v))
(-.f64 (*.f64 (/.f64 m v) m) (/.f64 (pow.f64 m 3) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(*.f64 m (*.f64 (-.f64 1 m) (/.f64 m v)))
(pow.f64 m 2)
(*.f64 m m)
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(fma.f64 -1 (pow.f64 m 3) (*.f64 m m))
(-.f64 (*.f64 m m) (pow.f64 m 3))
(fma.f64 m m (neg.f64 (pow.f64 m 3)))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(fma.f64 -1 (pow.f64 m 3) (*.f64 m m))
(-.f64 (*.f64 m m) (pow.f64 m 3))
(fma.f64 m m (neg.f64 (pow.f64 m 3)))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(fma.f64 -1 (pow.f64 m 3) (*.f64 m m))
(-.f64 (*.f64 m m) (pow.f64 m 3))
(fma.f64 m m (neg.f64 (pow.f64 m 3)))
(*.f64 -1 (pow.f64 m 3))
(neg.f64 (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(fma.f64 -1 (pow.f64 m 3) (*.f64 m m))
(-.f64 (*.f64 m m) (pow.f64 m 3))
(fma.f64 m m (neg.f64 (pow.f64 m 3)))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(fma.f64 -1 (pow.f64 m 3) (*.f64 m m))
(-.f64 (*.f64 m m) (pow.f64 m 3))
(fma.f64 m m (neg.f64 (pow.f64 m 3)))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(fma.f64 -1 (pow.f64 m 3) (*.f64 m m))
(-.f64 (*.f64 m m) (pow.f64 m 3))
(fma.f64 m m (neg.f64 (pow.f64 m 3)))
(*.f64 -1 (pow.f64 m 3))
(neg.f64 (pow.f64 m 3))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(fma.f64 -1 (pow.f64 m 3) (*.f64 m m))
(-.f64 (*.f64 m m) (pow.f64 m 3))
(fma.f64 m m (neg.f64 (pow.f64 m 3)))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(fma.f64 -1 (pow.f64 m 3) (*.f64 m m))
(-.f64 (*.f64 m m) (pow.f64 m 3))
(fma.f64 m m (neg.f64 (pow.f64 m 3)))
(+.f64 (*.f64 -1 (pow.f64 m 3)) (pow.f64 m 2))
(fma.f64 -1 (pow.f64 m 3) (*.f64 m m))
(-.f64 (*.f64 m m) (pow.f64 m 3))
(fma.f64 m m (neg.f64 (pow.f64 m 3)))

eval63.0ms (1.1%)

Compiler

Compiled 3160 to 1432 computations (54.7% saved)

prune76.0ms (1.4%)

Pruning

23 alts after pruning (13 fresh and 10 done)

PrunedKeptTotal
New2765281
Fresh189
Picked011
Done099
Total27723300
Error
0b
Counts
300 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
32.5b
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
37.7b
(neg.f64 m)
26.3b
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
55.2b
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
55.2b
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
0.2b
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
9.2b
(-.f64 (pow.f64 (sqrt.f64 (*.f64 m (/.f64 m v))) 2) m)
16.0b
(-.f64 (/.f64 (*.f64 m m) v) m)
41.2b
(/.f64 (*.f64 m m) v)
35.0b
(*.f64 m (/.f64 m v))
34.9b
(/.f64 m (/.f64 v m))
55.2b
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
35.1b
(pow.f64 (/.f64 m (sqrt.f64 v)) 2)
41.2b
(*.f64 (*.f64 m m) (/.f64 1 v))
26.2b
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m))
35.0b
(*.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (/.f64 m v)))
35.1b
(pow.f64 (sqrt.f64 (*.f64 m (/.f64 m v))) 2)
9.1b
(+.f64 (*.f64 -1 m) (*.f64 m (*.f64 m (/.f64 1 v))))
9.1b
(*.f64 (-.f64 (/.f64 m v) 1) m)
37.4b
(*.f64 m (-.f64 -1 (/.f64 m v)))
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
61.4b
(-.f64 m (/.f64 m (/.f64 v m)))
61.4b
(-.f64 m (*.f64 m (/.f64 m v)))
Compiler

Compiled 222 to 141 computations (36.5% saved)

regimes95.0ms (1.7%)

Counts
44 → 1
Calls
Call 1
Inputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(*.f64 m (-.f64 -1 (/.f64 m v)))
(-.f64 m (*.f64 m (/.f64 m v)))
(-.f64 (/.f64 (*.f64 m m) v) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (-.f64 (/.f64 m v) 1))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 m (/.f64 m (/.f64 v m)))
(*.f64 (*.f64 m m) (/.f64 1 v))
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m))
(*.f64 (-.f64 (*.f64 m (/.f64 1 v)) 1) m)
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
(*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(+.f64 (*.f64 -1 m) (*.f64 m (*.f64 m (/.f64 1 v))))
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(/.f64 (*.f64 (pow.f64 m 2) (-.f64 1 m)) v)
(+.f64 (*.f64 -1 m) (/.f64 (pow.f64 m 2) v))
(*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1))
(pow.f64 (/.f64 m (sqrt.f64 v)) 2)
(pow.f64 (sqrt.f64 (*.f64 m (/.f64 m v))) 2)
(*.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (/.f64 m v)))
(-.f64 (pow.f64 (sqrt.f64 (*.f64 m (/.f64 m v))) 2) m)
(+.f64 (*.f64 -1 m) (pow.f64 (/.f64 m (sqrt.f64 v)) 2))
(-.f64 (*.f64 (sqrt.f64 m) (*.f64 (sqrt.f64 m) (/.f64 m v))) m)
(*.f64 (-.f64 (*.f64 (pow.f64 v -1/2) (/.f64 m (sqrt.f64 v))) 1) m)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 m 3) v)) (/.f64 (pow.f64 m 2) v))
(*.f64 (-.f64 (/.f64 (*.f64 (pow.f64 v -1/2) m) (/.f64 (sqrt.f64 v) (-.f64 1 m))) 1) m)
(*.f64 (-.f64 (*.f64 (pow.f64 v -1/2) (/.f64 (*.f64 m (-.f64 1 m)) (sqrt.f64 v))) 1) m)
(*.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) 1) (/.f64 (sqrt.f64 (*.f64 m (-.f64 1 m))) v)) 1) m)
(/.f64 (*.f64 m (+.f64 (pow.f64 (/.f64 (/.f64 v (-.f64 1 m)) m) -2) -1)) (fma.f64 (/.f64 m v) (-.f64 1 m) 1))
(cbrt.f64 (pow.f64 (*.f64 m (fma.f64 m (/.f64 (-.f64 1 m) v) -1)) 3))
(pow.f64 (cbrt.f64 (*.f64 m (fma.f64 (/.f64 m v) (-.f64 1 m) -1))) 3)
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
Calls

3 calls:

39.0ms
v
23.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
21.0ms
m
Results
ErrorSegmentsBranch
0.2b1m
0.2b1v
0.2b1(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
Compiler

Compiled 438 to 221 computations (49.5% saved)

regimes36.0ms (0.6%)

Counts
26 → 1
Calls
Call 1
Inputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(*.f64 m (-.f64 -1 (/.f64 m v)))
(-.f64 m (*.f64 m (/.f64 m v)))
(-.f64 (/.f64 (*.f64 m m) v) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (-.f64 (/.f64 m v) 1))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 m (/.f64 m (/.f64 v m)))
(*.f64 (*.f64 m m) (/.f64 1 v))
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m))
(*.f64 (-.f64 (*.f64 m (/.f64 1 v)) 1) m)
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
(*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(+.f64 (*.f64 -1 m) (*.f64 m (*.f64 m (/.f64 1 v))))
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
Outputs
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
Calls

2 calls:

15.0ms
v
14.0ms
m
Results
ErrorSegmentsBranch
0.2b1m
0.2b1v
Compiler

Compiled 206 to 87 computations (57.8% saved)

regimes43.0ms (0.8%)

Counts
25 → 2
Calls
Call 1
Inputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(*.f64 m (-.f64 -1 (/.f64 m v)))
(-.f64 m (*.f64 m (/.f64 m v)))
(-.f64 (/.f64 (*.f64 m m) v) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (-.f64 (/.f64 m v) 1))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 m (/.f64 m (/.f64 v m)))
(*.f64 (*.f64 m m) (/.f64 1 v))
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m))
(*.f64 (-.f64 (*.f64 m (/.f64 1 v)) 1) m)
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
(*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v))
(*.f64 (*.f64 m m) (/.f64 (-.f64 1 m) v))
(+.f64 (*.f64 -1 m) (*.f64 m (*.f64 m (/.f64 1 v))))
Outputs
(-.f64 (/.f64 m (/.f64 v m)) m)
(*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v))
Calls

2 calls:

25.0ms
m
12.0ms
v
Results
ErrorSegmentsBranch
0.3b2m
9.1b1v
Compiler

Compiled 195 to 80 computations (59% saved)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
1.3524674633120764e-21
2.3552245369245634e-20
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes37.0ms (0.7%)

Counts
22 → 2
Calls
Call 1
Inputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(*.f64 m (-.f64 -1 (/.f64 m v)))
(-.f64 m (*.f64 m (/.f64 m v)))
(-.f64 (/.f64 (*.f64 m m) v) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (-.f64 (/.f64 m v) 1))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 m (/.f64 m (/.f64 v m)))
(*.f64 (*.f64 m m) (/.f64 1 v))
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m))
(*.f64 (-.f64 (*.f64 m (/.f64 1 v)) 1) m)
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
(*.f64 m (*.f64 (/.f64 m v) (-.f64 1 m)))
(*.f64 m (/.f64 (-.f64 1 m) (/.f64 v m)))
Outputs
(-.f64 (/.f64 m (/.f64 v m)) m)
(*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v))
Calls

2 calls:

20.0ms
m
11.0ms
v
Results
ErrorSegmentsBranch
0.3b2m
9.1b1v
Compiler

Compiled 166 to 64 computations (61.4% saved)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
1.3524674633120764e-21
2.3552245369245634e-20
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes49.0ms (0.9%)

Counts
19 → 2
Calls
Call 1
Inputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(*.f64 m (-.f64 -1 (/.f64 m v)))
(-.f64 m (*.f64 m (/.f64 m v)))
(-.f64 (/.f64 (*.f64 m m) v) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (-.f64 (/.f64 m v) 1))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 m (/.f64 m (/.f64 v m)))
(*.f64 (*.f64 m m) (/.f64 1 v))
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m))
(*.f64 (-.f64 (*.f64 m (/.f64 1 v)) 1) m)
Outputs
(-.f64 (/.f64 m (/.f64 v m)) m)
(/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m))
Calls

2 calls:

18.0ms
m
9.0ms
v
Results
ErrorSegmentsBranch
0.3b2m
9.1b1v
Compiler

Compiled 139 to 53 computations (61.9% saved)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
1.3524674633120764e-21
2.3552245369245634e-20
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes162.0ms (2.9%)

Counts
17 → 2
Calls
Call 1
Inputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(*.f64 m (-.f64 -1 (/.f64 m v)))
(-.f64 m (*.f64 m (/.f64 m v)))
(-.f64 (/.f64 (*.f64 m m) v) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (-.f64 (/.f64 m v) 1))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 m (/.f64 m (/.f64 v m)))
(*.f64 (*.f64 m m) (/.f64 1 v))
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
Outputs
(-.f64 (/.f64 m (/.f64 v m)) m)
(/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v)
Calls

2 calls:

140.0ms
v
18.0ms
m
Results
ErrorSegmentsBranch
0.3b2m
9.1b1v
Compiler

Compiled 121 to 43 computations (64.5% saved)

bsearch20.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
1.3524674633120764e-21
2.3552245369245634e-20
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes27.0ms (0.5%)

Counts
16 → 2
Calls
Call 1
Inputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(*.f64 m (-.f64 -1 (/.f64 m v)))
(-.f64 m (*.f64 m (/.f64 m v)))
(-.f64 (/.f64 (*.f64 m m) v) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (-.f64 (/.f64 m v) 1))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 m (/.f64 m (/.f64 v m)))
(*.f64 (*.f64 m m) (/.f64 1 v))
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
(*.f64 (*.f64 m m) (/.f64 (neg.f64 m) v))
(*.f64 m (*.f64 m (/.f64 (neg.f64 m) v)))
Outputs
(-.f64 (/.f64 m (/.f64 v m)) m)
(*.f64 m (/.f64 (*.f64 m m) (neg.f64 v)))
Calls

2 calls:

16.0ms
m
8.0ms
v
Results
ErrorSegmentsBranch
2.8b2m
9.1b1v
Compiler

Compiled 112 to 39 computations (65.2% saved)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
0.023442096466724467
1.02323183411924
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes18.0ms (0.3%)

Counts
13 → 1
Calls
Call 1
Inputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(*.f64 m (-.f64 -1 (/.f64 m v)))
(-.f64 m (*.f64 m (/.f64 m v)))
(-.f64 (/.f64 (*.f64 m m) v) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (-.f64 (/.f64 m v) 1))
(-.f64 (/.f64 m (/.f64 v m)) m)
(-.f64 m (/.f64 m (/.f64 v m)))
(*.f64 (*.f64 m m) (/.f64 1 v))
(*.f64 (-.f64 (/.f64 m v) 1) m)
Outputs
(-.f64 (/.f64 m (/.f64 v m)) m)
Calls

2 calls:

8.0ms
v
7.0ms
m
Results
ErrorSegmentsBranch
9.1b1m
9.1b1v
Compiler

Compiled 88 to 32 computations (63.6% saved)

regimes14.0ms (0.3%)

Counts
9 → 1
Calls
Call 1
Inputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(*.f64 m (-.f64 -1 (/.f64 m v)))
(-.f64 m (*.f64 m (/.f64 m v)))
(-.f64 (/.f64 (*.f64 m m) v) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (-.f64 (/.f64 m v) 1))
Outputs
(*.f64 (-.f64 (/.f64 m v) 1) m)
Calls

2 calls:

7.0ms
m
6.0ms
v
Results
ErrorSegmentsBranch
9.1b1m
9.1b1v
Compiler

Compiled 60 to 24 computations (60% saved)

regimes30.0ms (0.5%)

Counts
7 → 2
Calls
Call 1
Inputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(*.f64 m (-.f64 -1 (/.f64 m v)))
(-.f64 m (*.f64 m (/.f64 m v)))
(-.f64 (/.f64 (*.f64 m m) v) m)
Outputs
(/.f64 m (/.f64 v m))
(-.f64 (/.f64 (*.f64 m m) v) m)
Calls

2 calls:

14.0ms
m
13.0ms
v
Results
ErrorSegmentsBranch
14.1b3m
10.9b2v
Compiler

Compiled 46 to 18 computations (60.9% saved)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
7.073271199994007e-229
4.8886063876887197e-228
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes55.0ms (1%)

Counts
6 → 4
Calls
Call 1
Inputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
(*.f64 m (/.f64 m v))
(*.f64 m (-.f64 -1 (/.f64 m v)))
(-.f64 m (*.f64 m (/.f64 m v)))
Outputs
(neg.f64 m)
(*.f64 m (/.f64 m v))
(neg.f64 m)
(/.f64 (*.f64 m m) v)
Calls

2 calls:

35.0ms
v
18.0ms
m
Results
ErrorSegmentsBranch
20.7b4m
21.0b4v
Compiler

Compiled 39 to 17 computations (56.4% saved)

bsearch149.0ms (2.6%)

Algorithm
binary-search
Steps
TimeLeftRight
110.0ms
9.109391996566474e-158
2.8840597109921058e-155
19.0ms
6.613329398795434e-171
9.704644144122234e-171
20.0ms
2.112695978961321e-180
9.604447829080767e-180
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes27.0ms (0.5%)

Counts
3 → 4
Calls
Call 1
Inputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
(/.f64 m (/.f64 v m))
Outputs
(neg.f64 m)
(/.f64 m (/.f64 v m))
(neg.f64 m)
(/.f64 (*.f64 m m) v)
Calls

2 calls:

14.0ms
v
12.0ms
m
Results
ErrorSegmentsBranch
20.7b4m
21.2b4v
Compiler

Compiled 20 to 11 computations (45% saved)

bsearch63.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
20.0ms
9.109391996566474e-158
2.8840597109921058e-155
23.0ms
6.613329398795434e-171
9.704644144122234e-171
20.0ms
2.112695978961321e-180
9.604447829080767e-180
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes27.0ms (0.5%)

Accuracy

Total -39.1b remaining (-173%)

Threshold costs -39.1b (-173%)

Counts
2 → 2
Calls
Call 1
Inputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
Outputs
(neg.f64 m)
(/.f64 (*.f64 m m) v)
Calls

2 calls:

17.0ms
v
9.0ms
m
Results
ErrorSegmentsBranch
22.6b2m
27.4b4v
Compiler

Compiled 15 to 9 computations (40% saved)

bsearch21.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
9.109391996566474e-158
2.8840597109921058e-155
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056314
180314
290314
392314
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
(if (<=.f64 m 460220829599390848/340282366920938463463374607431768211456) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)))
(if (<=.f64 m 460220829599390848/340282366920938463463374607431768211456) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v)))
(if (<=.f64 m 460220829599390848/340282366920938463463374607431768211456) (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m)))
(if (<=.f64 m 460220829599390848/340282366920938463463374607431768211456) (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v))
(if (<=.f64 m 432430354072877184/18446744073709551616) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 m (/.f64 (*.f64 m m) (neg.f64 v))))
(-.f64 (/.f64 m (/.f64 v m)) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(if (<=.f64 v 4829662663601505/6828046779268970776657768233698567984276232522051489956245767999246374131525255241237946573692471593720760228447675638216590132893818229842292076597586769967201441361422350907866192164773697561322460176523147880429251325990375896362151810433024) (/.f64 m (/.f64 v m)) (-.f64 (/.f64 (*.f64 m m) v) m))
(if (<=.f64 m 4935193572915311/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (neg.f64 m) (if (<=.f64 m 7193785349554839/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144) (*.f64 m (/.f64 m v)) (if (<=.f64 m 22530295796866712/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (neg.f64 m) (/.f64 (*.f64 m m) v))))
(if (<=.f64 m 4935193572915311/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (neg.f64 m) (if (<=.f64 m 7193785349554839/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144) (/.f64 m (/.f64 v m)) (if (<=.f64 m 22530295796866712/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (neg.f64 m) (/.f64 (*.f64 m m) v))))
(if (<=.f64 m 22530295796866712/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (neg.f64 m) (/.f64 (*.f64 m m) v))
(neg.f64 m)
Outputs
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
(*.f64 m (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1))
(*.f64 (-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
(*.f64 m (+.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) -1))
(if (<=.f64 m 460220829599390848/340282366920938463463374607431768211456) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)))
(if (<=.f64 m 3595475231245241/2658455991569831745807614120560689152) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 m (/.f64 (*.f64 m (-.f64 1 m)) v)))
(if (<=.f64 m 460220829599390848/340282366920938463463374607431768211456) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v)))
(if (<=.f64 m 3595475231245241/2658455991569831745807614120560689152) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 (-.f64 1 m) (/.f64 (*.f64 m m) v)))
(if (<=.f64 m 460220829599390848/340282366920938463463374607431768211456) (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m)))
(if (<=.f64 m 3595475231245241/2658455991569831745807614120560689152) (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (*.f64 m (-.f64 1 m)) (/.f64 v m)))
(if (<=.f64 m 460220829599390848/340282366920938463463374607431768211456) (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (*.f64 (*.f64 m m) (-.f64 1 m)) v))
(if (<=.f64 m 3595475231245241/2658455991569831745807614120560689152) (-.f64 (/.f64 m (/.f64 v m)) m) (/.f64 (*.f64 (-.f64 1 m) (*.f64 m m)) v))
(if (<=.f64 m 432430354072877184/18446744073709551616) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 m (/.f64 (*.f64 m m) (neg.f64 v))))
(if (<=.f64 m 3378362141194353/144115188075855872) (-.f64 (/.f64 m (/.f64 v m)) m) (*.f64 m (/.f64 (*.f64 m m) (neg.f64 v))))
(-.f64 (/.f64 m (/.f64 v m)) m)
(*.f64 (-.f64 (/.f64 m v) 1) m)
(*.f64 m (+.f64 (/.f64 m v) -1))
(if (<=.f64 v 4829662663601505/6828046779268970776657768233698567984276232522051489956245767999246374131525255241237946573692471593720760228447675638216590132893818229842292076597586769967201441361422350907866192164773697561322460176523147880429251325990375896362151810433024) (/.f64 m (/.f64 v m)) (-.f64 (/.f64 (*.f64 m m) v) m))
(if (<=.f64 m 4935193572915311/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (neg.f64 m) (if (<=.f64 m 7193785349554839/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144) (*.f64 m (/.f64 m v)) (if (<=.f64 m 22530295796866712/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (neg.f64 m) (/.f64 (*.f64 m m) v))))
(if (<=.f64 m 4935193572915311/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (neg.f64 m) (if (<=.f64 m 7193785349554839/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144) (*.f64 m (/.f64 m v)) (if (<=.f64 m 2816286974608339/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (neg.f64 m) (/.f64 (*.f64 m m) v))))
(if (<=.f64 m 4935193572915311/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (neg.f64 m) (if (<=.f64 m 7193785349554839/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144) (/.f64 m (/.f64 v m)) (if (<=.f64 m 22530295796866712/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (neg.f64 m) (/.f64 (*.f64 m m) v))))
(if (<=.f64 m 4935193572915311/2335969596222563951944279862118549158345332995711262684456546569164428885610842821891027359394494156686664862501680336543072616817344224255105362595697773664385021273272455654442431586430261133312) (neg.f64 m) (if (<=.f64 m 7193785349554839/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144) (/.f64 m (/.f64 v m)) (if (<=.f64 m 2816286974608339/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (neg.f64 m) (/.f64 (*.f64 m m) v))))
(if (<=.f64 m 22530295796866712/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (neg.f64 m) (/.f64 (*.f64 m m) v))
(if (<=.f64 m 2816286974608339/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392) (neg.f64 m) (/.f64 (*.f64 m m) v))
(neg.f64 m)

end100.0ms (1.8%)

Stop Event
fuel
Compiler

Compiled 462 to 231 computations (50% saved)

Profiling

Loading profile data...